Highest Common Factor of 7564, 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 7564, 6317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7564, 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 7564, 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 7564, 6317 is 1.
HCF(7564, 6317) = 1
HCF of 7564, 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 7564, 6317 is 1.
Highest Common Factor of 7564,6317 is 1
Step 1: Since 7564 > 6317, we apply the division lemma to 7564 and 6317, to get
7564 = 6317 x 1 + 1247
Step 2: Since the reminder 6317 ≠ 0, we apply division lemma to 1247 and 6317, to get
6317 = 1247 x 5 + 82
Step 3: We consider the new divisor 1247 and the new remainder 82, and apply the division lemma to get
1247 = 82 x 15 + 17
We consider the new divisor 82 and the new remainder 17,and apply the division lemma to get
82 = 17 x 4 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7564 and 6317 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(82,17) = HCF(1247,82) = HCF(6317,1247) = HCF(7564,6317) .
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Frequently Asked Questions on HCF of 7564, 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 7564, 6317?
Answer: HCF of 7564, 6317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7564, 6317 using Euclid's Algorithm?
Answer: For arbitrary numbers 7564, 6317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.