Highest Common Factor of 4637, 7062 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 4637, 7062 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4637, 7062 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 4637, 7062 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 4637, 7062 is 1.
HCF(4637, 7062) = 1
HCF of 4637, 7062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4637, 7062 is 1.
Highest Common Factor of 4637,7062 is 1
Step 1: Since 7062 > 4637, we apply the division lemma to 7062 and 4637, to get
7062 = 4637 x 1 + 2425
Step 2: Since the reminder 4637 ≠ 0, we apply division lemma to 2425 and 4637, to get
4637 = 2425 x 1 + 2212
Step 3: We consider the new divisor 2425 and the new remainder 2212, and apply the division lemma to get
2425 = 2212 x 1 + 213
We consider the new divisor 2212 and the new remainder 213,and apply the division lemma to get
2212 = 213 x 10 + 82
We consider the new divisor 213 and the new remainder 82,and apply the division lemma to get
213 = 82 x 2 + 49
We consider the new divisor 82 and the new remainder 49,and apply the division lemma to get
82 = 49 x 1 + 33
We consider the new divisor 49 and the new remainder 33,and apply the division lemma to get
49 = 33 x 1 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4637 and 7062 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(49,33) = HCF(82,49) = HCF(213,82) = HCF(2212,213) = HCF(2425,2212) = HCF(4637,2425) = HCF(7062,4637) .
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Frequently Asked Questions on HCF of 4637, 7062 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 4637, 7062?
Answer: HCF of 4637, 7062 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4637, 7062 using Euclid's Algorithm?
Answer: For arbitrary numbers 4637, 7062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.