Highest Common Factor of 864, 628 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 864, 628 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 864, 628 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 864, 628 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 864, 628 is 4.
HCF(864, 628) = 4
HCF of 864, 628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 864, 628 is 4.
Highest Common Factor of 864,628 is 4
Step 1: Since 864 > 628, we apply the division lemma to 864 and 628, to get
864 = 628 x 1 + 236
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 236 and 628, to get
628 = 236 x 2 + 156
Step 3: We consider the new divisor 236 and the new remainder 156, and apply the division lemma to get
236 = 156 x 1 + 80
We consider the new divisor 156 and the new remainder 80,and apply the division lemma to get
156 = 80 x 1 + 76
We consider the new divisor 80 and the new remainder 76,and apply the division lemma to get
80 = 76 x 1 + 4
We consider the new divisor 76 and the new remainder 4,and apply the division lemma to get
76 = 4 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 864 and 628 is 4
Notice that 4 = HCF(76,4) = HCF(80,76) = HCF(156,80) = HCF(236,156) = HCF(628,236) = HCF(864,628) .
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Frequently Asked Questions on HCF of 864, 628 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 864, 628?
Answer: HCF of 864, 628 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 864, 628 using Euclid's Algorithm?
Answer: For arbitrary numbers 864, 628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.