Highest Common Factor of 5607, 8617 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 5607, 8617 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5607, 8617 is 7 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 5607, 8617 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 5607, 8617 is 7.
HCF(5607, 8617) = 7
HCF of 5607, 8617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5607, 8617 is 7.
Highest Common Factor of 5607,8617 is 7
Step 1: Since 8617 > 5607, we apply the division lemma to 8617 and 5607, to get
8617 = 5607 x 1 + 3010
Step 2: Since the reminder 5607 ≠ 0, we apply division lemma to 3010 and 5607, to get
5607 = 3010 x 1 + 2597
Step 3: We consider the new divisor 3010 and the new remainder 2597, and apply the division lemma to get
3010 = 2597 x 1 + 413
We consider the new divisor 2597 and the new remainder 413,and apply the division lemma to get
2597 = 413 x 6 + 119
We consider the new divisor 413 and the new remainder 119,and apply the division lemma to get
413 = 119 x 3 + 56
We consider the new divisor 119 and the new remainder 56,and apply the division lemma to get
119 = 56 x 2 + 7
We consider the new divisor 56 and the new remainder 7,and apply the division lemma to get
56 = 7 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5607 and 8617 is 7
Notice that 7 = HCF(56,7) = HCF(119,56) = HCF(413,119) = HCF(2597,413) = HCF(3010,2597) = HCF(5607,3010) = HCF(8617,5607) .
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Frequently Asked Questions on HCF of 5607, 8617 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 5607, 8617?
Answer: HCF of 5607, 8617 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5607, 8617 using Euclid's Algorithm?
Answer: For arbitrary numbers 5607, 8617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.