Highest Common Factor of 5979, 2461 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 5979, 2461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5979, 2461 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 5979, 2461 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 5979, 2461 is 1.
HCF(5979, 2461) = 1
HCF of 5979, 2461 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5979, 2461 is 1.
Highest Common Factor of 5979,2461 is 1
Step 1: Since 5979 > 2461, we apply the division lemma to 5979 and 2461, to get
5979 = 2461 x 2 + 1057
Step 2: Since the reminder 2461 ≠ 0, we apply division lemma to 1057 and 2461, to get
2461 = 1057 x 2 + 347
Step 3: We consider the new divisor 1057 and the new remainder 347, and apply the division lemma to get
1057 = 347 x 3 + 16
We consider the new divisor 347 and the new remainder 16,and apply the division lemma to get
347 = 16 x 21 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 5979 and 2461 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(347,16) = HCF(1057,347) = HCF(2461,1057) = HCF(5979,2461) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5979, 2461 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 5979, 2461?
Answer: HCF of 5979, 2461 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5979, 2461 using Euclid's Algorithm?
Answer: For arbitrary numbers 5979, 2461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.