Highest Common Factor of 2387, 6495 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 2387, 6495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2387, 6495 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 2387, 6495 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 2387, 6495 is 1.
HCF(2387, 6495) = 1
HCF of 2387, 6495 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2387, 6495 is 1.
Highest Common Factor of 2387,6495 is 1
Step 1: Since 6495 > 2387, we apply the division lemma to 6495 and 2387, to get
6495 = 2387 x 2 + 1721
Step 2: Since the reminder 2387 ≠ 0, we apply division lemma to 1721 and 2387, to get
2387 = 1721 x 1 + 666
Step 3: We consider the new divisor 1721 and the new remainder 666, and apply the division lemma to get
1721 = 666 x 2 + 389
We consider the new divisor 666 and the new remainder 389,and apply the division lemma to get
666 = 389 x 1 + 277
We consider the new divisor 389 and the new remainder 277,and apply the division lemma to get
389 = 277 x 1 + 112
We consider the new divisor 277 and the new remainder 112,and apply the division lemma to get
277 = 112 x 2 + 53
We consider the new divisor 112 and the new remainder 53,and apply the division lemma to get
112 = 53 x 2 + 6
We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get
53 = 6 x 8 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2387 and 6495 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(112,53) = HCF(277,112) = HCF(389,277) = HCF(666,389) = HCF(1721,666) = HCF(2387,1721) = HCF(6495,2387) .
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Frequently Asked Questions on HCF of 2387, 6495 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 2387, 6495?
Answer: HCF of 2387, 6495 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2387, 6495 using Euclid's Algorithm?
Answer: For arbitrary numbers 2387, 6495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
