Highest Common Factor of 632, 1012 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 632, 1012 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 632, 1012 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 632, 1012 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 632, 1012 is 4.
HCF(632, 1012) = 4
HCF of 632, 1012 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 632, 1012 is 4.
Highest Common Factor of 632,1012 is 4
Step 1: Since 1012 > 632, we apply the division lemma to 1012 and 632, to get
1012 = 632 x 1 + 380
Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 380 and 632, to get
632 = 380 x 1 + 252
Step 3: We consider the new divisor 380 and the new remainder 252, and apply the division lemma to get
380 = 252 x 1 + 128
We consider the new divisor 252 and the new remainder 128,and apply the division lemma to get
252 = 128 x 1 + 124
We consider the new divisor 128 and the new remainder 124,and apply the division lemma to get
128 = 124 x 1 + 4
We consider the new divisor 124 and the new remainder 4,and apply the division lemma to get
124 = 4 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 632 and 1012 is 4
Notice that 4 = HCF(124,4) = HCF(128,124) = HCF(252,128) = HCF(380,252) = HCF(632,380) = HCF(1012,632) .
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Frequently Asked Questions on HCF of 632, 1012 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 632, 1012?
Answer: HCF of 632, 1012 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 632, 1012 using Euclid's Algorithm?
Answer: For arbitrary numbers 632, 1012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.