Highest Common Factor of 9688, 6160 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 9688, 6160 i.e. 56 the largest integer that leaves a remainder zero for all numbers.
HCF of 9688, 6160 is 56 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 9688, 6160 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 9688, 6160 is 56.
HCF(9688, 6160) = 56
HCF of 9688, 6160 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9688, 6160 is 56.
Highest Common Factor of 9688,6160 is 56
Step 1: Since 9688 > 6160, we apply the division lemma to 9688 and 6160, to get
9688 = 6160 x 1 + 3528
Step 2: Since the reminder 6160 ≠ 0, we apply division lemma to 3528 and 6160, to get
6160 = 3528 x 1 + 2632
Step 3: We consider the new divisor 3528 and the new remainder 2632, and apply the division lemma to get
3528 = 2632 x 1 + 896
We consider the new divisor 2632 and the new remainder 896,and apply the division lemma to get
2632 = 896 x 2 + 840
We consider the new divisor 896 and the new remainder 840,and apply the division lemma to get
896 = 840 x 1 + 56
We consider the new divisor 840 and the new remainder 56,and apply the division lemma to get
840 = 56 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 9688 and 6160 is 56
Notice that 56 = HCF(840,56) = HCF(896,840) = HCF(2632,896) = HCF(3528,2632) = HCF(6160,3528) = HCF(9688,6160) .
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Frequently Asked Questions on HCF of 9688, 6160 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 9688, 6160?
Answer: HCF of 9688, 6160 is 56 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9688, 6160 using Euclid's Algorithm?
Answer: For arbitrary numbers 9688, 6160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
