Highest Common Factor of 7251, 5921 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 7251, 5921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7251, 5921 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 7251, 5921 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 7251, 5921 is 1.
HCF(7251, 5921) = 1
HCF of 7251, 5921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7251, 5921 is 1.
Highest Common Factor of 7251,5921 is 1
Step 1: Since 7251 > 5921, we apply the division lemma to 7251 and 5921, to get
7251 = 5921 x 1 + 1330
Step 2: Since the reminder 5921 ≠ 0, we apply division lemma to 1330 and 5921, to get
5921 = 1330 x 4 + 601
Step 3: We consider the new divisor 1330 and the new remainder 601, and apply the division lemma to get
1330 = 601 x 2 + 128
We consider the new divisor 601 and the new remainder 128,and apply the division lemma to get
601 = 128 x 4 + 89
We consider the new divisor 128 and the new remainder 89,and apply the division lemma to get
128 = 89 x 1 + 39
We consider the new divisor 89 and the new remainder 39,and apply the division lemma to get
89 = 39 x 2 + 11
We consider the new divisor 39 and the new remainder 11,and apply the division lemma to get
39 = 11 x 3 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7251 and 5921 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(39,11) = HCF(89,39) = HCF(128,89) = HCF(601,128) = HCF(1330,601) = HCF(5921,1330) = HCF(7251,5921) .
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Frequently Asked Questions on HCF of 7251, 5921 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 7251, 5921?
Answer: HCF of 7251, 5921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7251, 5921 using Euclid's Algorithm?
Answer: For arbitrary numbers 7251, 5921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
