Highest Common Factor of 7391, 6710 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 7391, 6710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7391, 6710 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 7391, 6710 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 7391, 6710 is 1.
HCF(7391, 6710) = 1
HCF of 7391, 6710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7391, 6710 is 1.
Highest Common Factor of 7391,6710 is 1
Step 1: Since 7391 > 6710, we apply the division lemma to 7391 and 6710, to get
7391 = 6710 x 1 + 681
Step 2: Since the reminder 6710 ≠ 0, we apply division lemma to 681 and 6710, to get
6710 = 681 x 9 + 581
Step 3: We consider the new divisor 681 and the new remainder 581, and apply the division lemma to get
681 = 581 x 1 + 100
We consider the new divisor 581 and the new remainder 100,and apply the division lemma to get
581 = 100 x 5 + 81
We consider the new divisor 100 and the new remainder 81,and apply the division lemma to get
100 = 81 x 1 + 19
We consider the new divisor 81 and the new remainder 19,and apply the division lemma to get
81 = 19 x 4 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7391 and 6710 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(81,19) = HCF(100,81) = HCF(581,100) = HCF(681,581) = HCF(6710,681) = HCF(7391,6710) .
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Frequently Asked Questions on HCF of 7391, 6710 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 7391, 6710?
Answer: HCF of 7391, 6710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7391, 6710 using Euclid's Algorithm?
Answer: For arbitrary numbers 7391, 6710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
