Highest Common Factor of 7237, 4676 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 7237, 4676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7237, 4676 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 7237, 4676 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 7237, 4676 is 1.
HCF(7237, 4676) = 1
HCF of 7237, 4676 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7237, 4676 is 1.
Highest Common Factor of 7237,4676 is 1
Step 1: Since 7237 > 4676, we apply the division lemma to 7237 and 4676, to get
7237 = 4676 x 1 + 2561
Step 2: Since the reminder 4676 ≠ 0, we apply division lemma to 2561 and 4676, to get
4676 = 2561 x 1 + 2115
Step 3: We consider the new divisor 2561 and the new remainder 2115, and apply the division lemma to get
2561 = 2115 x 1 + 446
We consider the new divisor 2115 and the new remainder 446,and apply the division lemma to get
2115 = 446 x 4 + 331
We consider the new divisor 446 and the new remainder 331,and apply the division lemma to get
446 = 331 x 1 + 115
We consider the new divisor 331 and the new remainder 115,and apply the division lemma to get
331 = 115 x 2 + 101
We consider the new divisor 115 and the new remainder 101,and apply the division lemma to get
115 = 101 x 1 + 14
We consider the new divisor 101 and the new remainder 14,and apply the division lemma to get
101 = 14 x 7 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7237 and 4676 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(101,14) = HCF(115,101) = HCF(331,115) = HCF(446,331) = HCF(2115,446) = HCF(2561,2115) = HCF(4676,2561) = HCF(7237,4676) .
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Frequently Asked Questions on HCF of 7237, 4676 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 7237, 4676?
Answer: HCF of 7237, 4676 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7237, 4676 using Euclid's Algorithm?
Answer: For arbitrary numbers 7237, 4676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.