Highest Common Factor of 7627, 4631 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 7627, 4631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7627, 4631 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 7627, 4631 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 7627, 4631 is 1.
HCF(7627, 4631) = 1
HCF of 7627, 4631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7627, 4631 is 1.
Highest Common Factor of 7627,4631 is 1
Step 1: Since 7627 > 4631, we apply the division lemma to 7627 and 4631, to get
7627 = 4631 x 1 + 2996
Step 2: Since the reminder 4631 ≠ 0, we apply division lemma to 2996 and 4631, to get
4631 = 2996 x 1 + 1635
Step 3: We consider the new divisor 2996 and the new remainder 1635, and apply the division lemma to get
2996 = 1635 x 1 + 1361
We consider the new divisor 1635 and the new remainder 1361,and apply the division lemma to get
1635 = 1361 x 1 + 274
We consider the new divisor 1361 and the new remainder 274,and apply the division lemma to get
1361 = 274 x 4 + 265
We consider the new divisor 274 and the new remainder 265,and apply the division lemma to get
274 = 265 x 1 + 9
We consider the new divisor 265 and the new remainder 9,and apply the division lemma to get
265 = 9 x 29 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7627 and 4631 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(265,9) = HCF(274,265) = HCF(1361,274) = HCF(1635,1361) = HCF(2996,1635) = HCF(4631,2996) = HCF(7627,4631) .
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Frequently Asked Questions on HCF of 7627, 4631 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 7627, 4631?
Answer: HCF of 7627, 4631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7627, 4631 using Euclid's Algorithm?
Answer: For arbitrary numbers 7627, 4631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.