Highest Common Factor of 3931, 1707 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 3931, 1707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3931, 1707 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 3931, 1707 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 3931, 1707 is 1.
HCF(3931, 1707) = 1
HCF of 3931, 1707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3931, 1707 is 1.
Highest Common Factor of 3931,1707 is 1
Step 1: Since 3931 > 1707, we apply the division lemma to 3931 and 1707, to get
3931 = 1707 x 2 + 517
Step 2: Since the reminder 1707 ≠ 0, we apply division lemma to 517 and 1707, to get
1707 = 517 x 3 + 156
Step 3: We consider the new divisor 517 and the new remainder 156, and apply the division lemma to get
517 = 156 x 3 + 49
We consider the new divisor 156 and the new remainder 49,and apply the division lemma to get
156 = 49 x 3 + 9
We consider the new divisor 49 and the new remainder 9,and apply the division lemma to get
49 = 9 x 5 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3931 and 1707 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(49,9) = HCF(156,49) = HCF(517,156) = HCF(1707,517) = HCF(3931,1707) .
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Frequently Asked Questions on HCF of 3931, 1707 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 3931, 1707?
Answer: HCF of 3931, 1707 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3931, 1707 using Euclid's Algorithm?
Answer: For arbitrary numbers 3931, 1707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
