Highest Common Factor of 6910, 6587 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 6910, 6587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6910, 6587 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 6910, 6587 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 6910, 6587 is 1.
HCF(6910, 6587) = 1
HCF of 6910, 6587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6910, 6587 is 1.
Highest Common Factor of 6910,6587 is 1
Step 1: Since 6910 > 6587, we apply the division lemma to 6910 and 6587, to get
6910 = 6587 x 1 + 323
Step 2: Since the reminder 6587 ≠ 0, we apply division lemma to 323 and 6587, to get
6587 = 323 x 20 + 127
Step 3: We consider the new divisor 323 and the new remainder 127, and apply the division lemma to get
323 = 127 x 2 + 69
We consider the new divisor 127 and the new remainder 69,and apply the division lemma to get
127 = 69 x 1 + 58
We consider the new divisor 69 and the new remainder 58,and apply the division lemma to get
69 = 58 x 1 + 11
We consider the new divisor 58 and the new remainder 11,and apply the division lemma to get
58 = 11 x 5 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6910 and 6587 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(58,11) = HCF(69,58) = HCF(127,69) = HCF(323,127) = HCF(6587,323) = HCF(6910,6587) .
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Frequently Asked Questions on HCF of 6910, 6587 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 6910, 6587?
Answer: HCF of 6910, 6587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6910, 6587 using Euclid's Algorithm?
Answer: For arbitrary numbers 6910, 6587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.