Highest Common Factor of 2461, 6898 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 2461, 6898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2461, 6898 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 2461, 6898 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 2461, 6898 is 1.
HCF(2461, 6898) = 1
HCF of 2461, 6898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2461, 6898 is 1.
Highest Common Factor of 2461,6898 is 1
Step 1: Since 6898 > 2461, we apply the division lemma to 6898 and 2461, to get
6898 = 2461 x 2 + 1976
Step 2: Since the reminder 2461 ≠ 0, we apply division lemma to 1976 and 2461, to get
2461 = 1976 x 1 + 485
Step 3: We consider the new divisor 1976 and the new remainder 485, and apply the division lemma to get
1976 = 485 x 4 + 36
We consider the new divisor 485 and the new remainder 36,and apply the division lemma to get
485 = 36 x 13 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 2461 and 6898 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(485,36) = HCF(1976,485) = HCF(2461,1976) = HCF(6898,2461) .
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Frequently Asked Questions on HCF of 2461, 6898 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 2461, 6898?
Answer: HCF of 2461, 6898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2461, 6898 using Euclid's Algorithm?
Answer: For arbitrary numbers 2461, 6898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.