Highest Common Factor of 758, 6715 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 758, 6715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 758, 6715 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 758, 6715 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 758, 6715 is 1.
HCF(758, 6715) = 1
HCF of 758, 6715 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 758, 6715 is 1.
Highest Common Factor of 758,6715 is 1
Step 1: Since 6715 > 758, we apply the division lemma to 6715 and 758, to get
6715 = 758 x 8 + 651
Step 2: Since the reminder 758 ≠ 0, we apply division lemma to 651 and 758, to get
758 = 651 x 1 + 107
Step 3: We consider the new divisor 651 and the new remainder 107, and apply the division lemma to get
651 = 107 x 6 + 9
We consider the new divisor 107 and the new remainder 9,and apply the division lemma to get
107 = 9 x 11 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 758 and 6715 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(107,9) = HCF(651,107) = HCF(758,651) = HCF(6715,758) .
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Frequently Asked Questions on HCF of 758, 6715 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 758, 6715?
Answer: HCF of 758, 6715 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 758, 6715 using Euclid's Algorithm?
Answer: For arbitrary numbers 758, 6715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.