Highest Common Factor of 8540, 6499 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 8540, 6499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8540, 6499 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 8540, 6499 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 8540, 6499 is 1.
HCF(8540, 6499) = 1
HCF of 8540, 6499 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8540, 6499 is 1.
Highest Common Factor of 8540,6499 is 1
Step 1: Since 8540 > 6499, we apply the division lemma to 8540 and 6499, to get
8540 = 6499 x 1 + 2041
Step 2: Since the reminder 6499 ≠ 0, we apply division lemma to 2041 and 6499, to get
6499 = 2041 x 3 + 376
Step 3: We consider the new divisor 2041 and the new remainder 376, and apply the division lemma to get
2041 = 376 x 5 + 161
We consider the new divisor 376 and the new remainder 161,and apply the division lemma to get
376 = 161 x 2 + 54
We consider the new divisor 161 and the new remainder 54,and apply the division lemma to get
161 = 54 x 2 + 53
We consider the new divisor 54 and the new remainder 53,and apply the division lemma to get
54 = 53 x 1 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8540 and 6499 is 1
Notice that 1 = HCF(53,1) = HCF(54,53) = HCF(161,54) = HCF(376,161) = HCF(2041,376) = HCF(6499,2041) = HCF(8540,6499) .
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Frequently Asked Questions on HCF of 8540, 6499 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 8540, 6499?
Answer: HCF of 8540, 6499 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8540, 6499 using Euclid's Algorithm?
Answer: For arbitrary numbers 8540, 6499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.