Highest Common Factor of 7456, 8913 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 7456, 8913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7456, 8913 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 7456, 8913 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 7456, 8913 is 1.
HCF(7456, 8913) = 1
HCF of 7456, 8913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7456, 8913 is 1.
Highest Common Factor of 7456,8913 is 1
Step 1: Since 8913 > 7456, we apply the division lemma to 8913 and 7456, to get
8913 = 7456 x 1 + 1457
Step 2: Since the reminder 7456 ≠ 0, we apply division lemma to 1457 and 7456, to get
7456 = 1457 x 5 + 171
Step 3: We consider the new divisor 1457 and the new remainder 171, and apply the division lemma to get
1457 = 171 x 8 + 89
We consider the new divisor 171 and the new remainder 89,and apply the division lemma to get
171 = 89 x 1 + 82
We consider the new divisor 89 and the new remainder 82,and apply the division lemma to get
89 = 82 x 1 + 7
We consider the new divisor 82 and the new remainder 7,and apply the division lemma to get
82 = 7 x 11 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7456 and 8913 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(82,7) = HCF(89,82) = HCF(171,89) = HCF(1457,171) = HCF(7456,1457) = HCF(8913,7456) .
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Frequently Asked Questions on HCF of 7456, 8913 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 7456, 8913?
Answer: HCF of 7456, 8913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7456, 8913 using Euclid's Algorithm?
Answer: For arbitrary numbers 7456, 8913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.