Highest Common Factor of 6458, 7515 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 6458, 7515 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6458, 7515 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 6458, 7515 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 6458, 7515 is 1.
HCF(6458, 7515) = 1
HCF of 6458, 7515 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6458, 7515 is 1.
Highest Common Factor of 6458,7515 is 1
Step 1: Since 7515 > 6458, we apply the division lemma to 7515 and 6458, to get
7515 = 6458 x 1 + 1057
Step 2: Since the reminder 6458 ≠ 0, we apply division lemma to 1057 and 6458, to get
6458 = 1057 x 6 + 116
Step 3: We consider the new divisor 1057 and the new remainder 116, and apply the division lemma to get
1057 = 116 x 9 + 13
We consider the new divisor 116 and the new remainder 13,and apply the division lemma to get
116 = 13 x 8 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6458 and 7515 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(116,13) = HCF(1057,116) = HCF(6458,1057) = HCF(7515,6458) .
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Frequently Asked Questions on HCF of 6458, 7515 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 6458, 7515?
Answer: HCF of 6458, 7515 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6458, 7515 using Euclid's Algorithm?
Answer: For arbitrary numbers 6458, 7515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.