Highest Common Factor of 4047, 5312 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 4047, 5312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4047, 5312 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 4047, 5312 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 4047, 5312 is 1.
HCF(4047, 5312) = 1
HCF of 4047, 5312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4047, 5312 is 1.
Highest Common Factor of 4047,5312 is 1
Step 1: Since 5312 > 4047, we apply the division lemma to 5312 and 4047, to get
5312 = 4047 x 1 + 1265
Step 2: Since the reminder 4047 ≠ 0, we apply division lemma to 1265 and 4047, to get
4047 = 1265 x 3 + 252
Step 3: We consider the new divisor 1265 and the new remainder 252, and apply the division lemma to get
1265 = 252 x 5 + 5
We consider the new divisor 252 and the new remainder 5,and apply the division lemma to get
252 = 5 x 50 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 4047 and 5312 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(252,5) = HCF(1265,252) = HCF(4047,1265) = HCF(5312,4047) .
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Frequently Asked Questions on HCF of 4047, 5312 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 4047, 5312?
Answer: HCF of 4047, 5312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4047, 5312 using Euclid's Algorithm?
Answer: For arbitrary numbers 4047, 5312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.