Highest Common Factor of 932, 771 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 932, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 932, 771 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 932, 771 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 932, 771 is 1.
HCF(932, 771) = 1
HCF of 932, 771 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 932, 771 is 1.
Highest Common Factor of 932,771 is 1
Step 1: Since 932 > 771, we apply the division lemma to 932 and 771, to get
932 = 771 x 1 + 161
Step 2: Since the reminder 771 ≠ 0, we apply division lemma to 161 and 771, to get
771 = 161 x 4 + 127
Step 3: We consider the new divisor 161 and the new remainder 127, and apply the division lemma to get
161 = 127 x 1 + 34
We consider the new divisor 127 and the new remainder 34,and apply the division lemma to get
127 = 34 x 3 + 25
We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get
34 = 25 x 1 + 9
We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get
25 = 9 x 2 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 932 and 771 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(127,34) = HCF(161,127) = HCF(771,161) = HCF(932,771) .
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Frequently Asked Questions on HCF of 932, 771 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 932, 771?
Answer: HCF of 932, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 932, 771 using Euclid's Algorithm?
Answer: For arbitrary numbers 932, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.