Highest Common Factor of 7427, 4131 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 7427, 4131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7427, 4131 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 7427, 4131 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 7427, 4131 is 1.
HCF(7427, 4131) = 1
HCF of 7427, 4131 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7427, 4131 is 1.
Highest Common Factor of 7427,4131 is 1
Step 1: Since 7427 > 4131, we apply the division lemma to 7427 and 4131, to get
7427 = 4131 x 1 + 3296
Step 2: Since the reminder 4131 ≠ 0, we apply division lemma to 3296 and 4131, to get
4131 = 3296 x 1 + 835
Step 3: We consider the new divisor 3296 and the new remainder 835, and apply the division lemma to get
3296 = 835 x 3 + 791
We consider the new divisor 835 and the new remainder 791,and apply the division lemma to get
835 = 791 x 1 + 44
We consider the new divisor 791 and the new remainder 44,and apply the division lemma to get
791 = 44 x 17 + 43
We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get
44 = 43 x 1 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7427 and 4131 is 1
Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(791,44) = HCF(835,791) = HCF(3296,835) = HCF(4131,3296) = HCF(7427,4131) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7427, 4131 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 7427, 4131?
Answer: HCF of 7427, 4131 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7427, 4131 using Euclid's Algorithm?
Answer: For arbitrary numbers 7427, 4131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.