Highest Common Factor of 7125, 7951 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 7125, 7951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7125, 7951 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 7125, 7951 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 7125, 7951 is 1.
HCF(7125, 7951) = 1
HCF of 7125, 7951 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7125, 7951 is 1.
Highest Common Factor of 7125,7951 is 1
Step 1: Since 7951 > 7125, we apply the division lemma to 7951 and 7125, to get
7951 = 7125 x 1 + 826
Step 2: Since the reminder 7125 ≠ 0, we apply division lemma to 826 and 7125, to get
7125 = 826 x 8 + 517
Step 3: We consider the new divisor 826 and the new remainder 517, and apply the division lemma to get
826 = 517 x 1 + 309
We consider the new divisor 517 and the new remainder 309,and apply the division lemma to get
517 = 309 x 1 + 208
We consider the new divisor 309 and the new remainder 208,and apply the division lemma to get
309 = 208 x 1 + 101
We consider the new divisor 208 and the new remainder 101,and apply the division lemma to get
208 = 101 x 2 + 6
We consider the new divisor 101 and the new remainder 6,and apply the division lemma to get
101 = 6 x 16 + 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 7125 and 7951 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(101,6) = HCF(208,101) = HCF(309,208) = HCF(517,309) = HCF(826,517) = HCF(7125,826) = HCF(7951,7125) .
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Frequently Asked Questions on HCF of 7125, 7951 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 7125, 7951?
Answer: HCF of 7125, 7951 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7125, 7951 using Euclid's Algorithm?
Answer: For arbitrary numbers 7125, 7951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
