Highest Common Factor of 2656, 8755 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 2656, 8755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2656, 8755 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 2656, 8755 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 2656, 8755 is 1.
HCF(2656, 8755) = 1
HCF of 2656, 8755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2656, 8755 is 1.
Highest Common Factor of 2656,8755 is 1
Step 1: Since 8755 > 2656, we apply the division lemma to 8755 and 2656, to get
8755 = 2656 x 3 + 787
Step 2: Since the reminder 2656 ≠ 0, we apply division lemma to 787 and 2656, to get
2656 = 787 x 3 + 295
Step 3: We consider the new divisor 787 and the new remainder 295, and apply the division lemma to get
787 = 295 x 2 + 197
We consider the new divisor 295 and the new remainder 197,and apply the division lemma to get
295 = 197 x 1 + 98
We consider the new divisor 197 and the new remainder 98,and apply the division lemma to get
197 = 98 x 2 + 1
We consider the new divisor 98 and the new remainder 1,and apply the division lemma to get
98 = 1 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2656 and 8755 is 1
Notice that 1 = HCF(98,1) = HCF(197,98) = HCF(295,197) = HCF(787,295) = HCF(2656,787) = HCF(8755,2656) .
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Frequently Asked Questions on HCF of 2656, 8755 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 2656, 8755?
Answer: HCF of 2656, 8755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2656, 8755 using Euclid's Algorithm?
Answer: For arbitrary numbers 2656, 8755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
