Highest Common Factor of 5457, 7935 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 5457, 7935 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5457, 7935 is 3 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 5457, 7935 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 5457, 7935 is 3.
HCF(5457, 7935) = 3
HCF of 5457, 7935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5457, 7935 is 3.
Highest Common Factor of 5457,7935 is 3
Step 1: Since 7935 > 5457, we apply the division lemma to 7935 and 5457, to get
7935 = 5457 x 1 + 2478
Step 2: Since the reminder 5457 ≠ 0, we apply division lemma to 2478 and 5457, to get
5457 = 2478 x 2 + 501
Step 3: We consider the new divisor 2478 and the new remainder 501, and apply the division lemma to get
2478 = 501 x 4 + 474
We consider the new divisor 501 and the new remainder 474,and apply the division lemma to get
501 = 474 x 1 + 27
We consider the new divisor 474 and the new remainder 27,and apply the division lemma to get
474 = 27 x 17 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5457 and 7935 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(474,27) = HCF(501,474) = HCF(2478,501) = HCF(5457,2478) = HCF(7935,5457) .
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Frequently Asked Questions on HCF of 5457, 7935 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 5457, 7935?
Answer: HCF of 5457, 7935 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5457, 7935 using Euclid's Algorithm?
Answer: For arbitrary numbers 5457, 7935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.