Highest Common Factor of 7614, 5297 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 7614, 5297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7614, 5297 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 7614, 5297 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 7614, 5297 is 1.
HCF(7614, 5297) = 1
HCF of 7614, 5297 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7614, 5297 is 1.
Highest Common Factor of 7614,5297 is 1
Step 1: Since 7614 > 5297, we apply the division lemma to 7614 and 5297, to get
7614 = 5297 x 1 + 2317
Step 2: Since the reminder 5297 ≠ 0, we apply division lemma to 2317 and 5297, to get
5297 = 2317 x 2 + 663
Step 3: We consider the new divisor 2317 and the new remainder 663, and apply the division lemma to get
2317 = 663 x 3 + 328
We consider the new divisor 663 and the new remainder 328,and apply the division lemma to get
663 = 328 x 2 + 7
We consider the new divisor 328 and the new remainder 7,and apply the division lemma to get
328 = 7 x 46 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7614 and 5297 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(328,7) = HCF(663,328) = HCF(2317,663) = HCF(5297,2317) = HCF(7614,5297) .
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Frequently Asked Questions on HCF of 7614, 5297 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 7614, 5297?
Answer: HCF of 7614, 5297 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7614, 5297 using Euclid's Algorithm?
Answer: For arbitrary numbers 7614, 5297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.