Highest Common Factor of 876, 63664 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 876, 63664 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 63664 is 4 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 876, 63664 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 876, 63664 is 4.
HCF(876, 63664) = 4
HCF of 876, 63664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 876, 63664 is 4.
Highest Common Factor of 876,63664 is 4
Step 1: Since 63664 > 876, we apply the division lemma to 63664 and 876, to get
63664 = 876 x 72 + 592
Step 2: Since the reminder 876 ≠ 0, we apply division lemma to 592 and 876, to get
876 = 592 x 1 + 284
Step 3: We consider the new divisor 592 and the new remainder 284, and apply the division lemma to get
592 = 284 x 2 + 24
We consider the new divisor 284 and the new remainder 24,and apply the division lemma to get
284 = 24 x 11 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 876 and 63664 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(284,24) = HCF(592,284) = HCF(876,592) = HCF(63664,876) .
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Frequently Asked Questions on HCF of 876, 63664 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 876, 63664?
Answer: HCF of 876, 63664 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 63664 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 63664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.