Highest Common Factor of 1771, 6317 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 1771, 6317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1771, 6317 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 1771, 6317 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 1771, 6317 is 1.
HCF(1771, 6317) = 1
HCF of 1771, 6317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1771, 6317 is 1.
Highest Common Factor of 1771,6317 is 1
Step 1: Since 6317 > 1771, we apply the division lemma to 6317 and 1771, to get
6317 = 1771 x 3 + 1004
Step 2: Since the reminder 1771 ≠ 0, we apply division lemma to 1004 and 1771, to get
1771 = 1004 x 1 + 767
Step 3: We consider the new divisor 1004 and the new remainder 767, and apply the division lemma to get
1004 = 767 x 1 + 237
We consider the new divisor 767 and the new remainder 237,and apply the division lemma to get
767 = 237 x 3 + 56
We consider the new divisor 237 and the new remainder 56,and apply the division lemma to get
237 = 56 x 4 + 13
We consider the new divisor 56 and the new remainder 13,and apply the division lemma to get
56 = 13 x 4 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 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 1771 and 6317 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(56,13) = HCF(237,56) = HCF(767,237) = HCF(1004,767) = HCF(1771,1004) = HCF(6317,1771) .
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Frequently Asked Questions on HCF of 1771, 6317 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 1771, 6317?
Answer: HCF of 1771, 6317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1771, 6317 using Euclid's Algorithm?
Answer: For arbitrary numbers 1771, 6317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
