Highest Common Factor of 628, 992 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 628, 992 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 992 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 628, 992 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 628, 992 is 4.
HCF(628, 992) = 4
HCF of 628, 992 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 992 is 4.
Highest Common Factor of 628,992 is 4
Step 1: Since 992 > 628, we apply the division lemma to 992 and 628, to get
992 = 628 x 1 + 364
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 364 and 628, to get
628 = 364 x 1 + 264
Step 3: We consider the new divisor 364 and the new remainder 264, and apply the division lemma to get
364 = 264 x 1 + 100
We consider the new divisor 264 and the new remainder 100,and apply the division lemma to get
264 = 100 x 2 + 64
We consider the new divisor 100 and the new remainder 64,and apply the division lemma to get
100 = 64 x 1 + 36
We consider the new divisor 64 and the new remainder 36,and apply the division lemma to get
64 = 36 x 1 + 28
We consider the new divisor 36 and the new remainder 28,and apply the division lemma to get
36 = 28 x 1 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 628 and 992 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(64,36) = HCF(100,64) = HCF(264,100) = HCF(364,264) = HCF(628,364) = HCF(992,628) .
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Frequently Asked Questions on HCF of 628, 992 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 628, 992?
Answer: HCF of 628, 992 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 992 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.