Use the Euclidean algorithm to hand-calculate the greatest common divisor for the integers given below. 479 and 2,071 Step 1: Find 91 and r1 so that Then 2,071 = 479 91 + 1, where 0 ≤₁ < 479. Step 2: Find Then = 2,071479.91. 92 and 2 so that 479 = 1 92 +2, where 0 ≤ 2 < 11° Step 3: Find 92° = 479- 93 and r3 so that r1 =1293 + '3' where 0 ≤3<2° Then = 93°
Use the Euclidean algorithm to hand-calculate the greatest common divisor for the integers given below. 479 and 2,071 Step 1: Find 91 and r1 so that Then 2,071 = 479 91 + 1, where 0 ≤₁ < 479. Step 2: Find Then = 2,071479.91. 92 and 2 so that 479 = 1 92 +2, where 0 ≤ 2 < 11° Step 3: Find 92° = 479- 93 and r3 so that r1 =1293 + '3' where 0 ≤3<2° Then = 93°
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.2: Divisibility And Greatest Common Divisor
Problem 31E
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Transcribed Image Text:Use the Euclidean algorithm to hand-calculate the greatest common divisor for the integers given below.
479 and 2,071
Step 1: Find
91 and
1
so that
2,071 = 479. 91+1'
where 0 ≤ r₁ < 479.
Then
= 2,071 - 479.91.
Step 2: Find
92 and
2
so that
92°
Then
479 = 192 + 2, where 0 ≤ 2 < 11°
= 479 -
Step 3: Find 93 and r3 so that
Then
1 = 293 +3 where 0 ≤ г3 <2.
.93°
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