Highest Common Factor of 7651, 1751 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 7651, 1751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7651, 1751 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 7651, 1751 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 7651, 1751 is 1.
HCF(7651, 1751) = 1
HCF of 7651, 1751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7651, 1751 is 1.
Highest Common Factor of 7651,1751 is 1
Step 1: Since 7651 > 1751, we apply the division lemma to 7651 and 1751, to get
7651 = 1751 x 4 + 647
Step 2: Since the reminder 1751 ≠ 0, we apply division lemma to 647 and 1751, to get
1751 = 647 x 2 + 457
Step 3: We consider the new divisor 647 and the new remainder 457, and apply the division lemma to get
647 = 457 x 1 + 190
We consider the new divisor 457 and the new remainder 190,and apply the division lemma to get
457 = 190 x 2 + 77
We consider the new divisor 190 and the new remainder 77,and apply the division lemma to get
190 = 77 x 2 + 36
We consider the new divisor 77 and the new remainder 36,and apply the division lemma to get
77 = 36 x 2 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 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 7651 and 1751 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(77,36) = HCF(190,77) = HCF(457,190) = HCF(647,457) = HCF(1751,647) = HCF(7651,1751) .
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Frequently Asked Questions on HCF of 7651, 1751 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 7651, 1751?
Answer: HCF of 7651, 1751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7651, 1751 using Euclid's Algorithm?
Answer: For arbitrary numbers 7651, 1751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.