Highest Common Factor of 9348, 6051 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 9348, 6051 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9348, 6051 is 3 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 9348, 6051 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 9348, 6051 is 3.
HCF(9348, 6051) = 3
HCF of 9348, 6051 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9348, 6051 is 3.
Highest Common Factor of 9348,6051 is 3
Step 1: Since 9348 > 6051, we apply the division lemma to 9348 and 6051, to get
9348 = 6051 x 1 + 3297
Step 2: Since the reminder 6051 ≠ 0, we apply division lemma to 3297 and 6051, to get
6051 = 3297 x 1 + 2754
Step 3: We consider the new divisor 3297 and the new remainder 2754, and apply the division lemma to get
3297 = 2754 x 1 + 543
We consider the new divisor 2754 and the new remainder 543,and apply the division lemma to get
2754 = 543 x 5 + 39
We consider the new divisor 543 and the new remainder 39,and apply the division lemma to get
543 = 39 x 13 + 36
We consider the new divisor 39 and the new remainder 36,and apply the division lemma to get
39 = 36 x 1 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9348 and 6051 is 3
Notice that 3 = HCF(36,3) = HCF(39,36) = HCF(543,39) = HCF(2754,543) = HCF(3297,2754) = HCF(6051,3297) = HCF(9348,6051) .
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Frequently Asked Questions on HCF of 9348, 6051 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 9348, 6051?
Answer: HCF of 9348, 6051 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9348, 6051 using Euclid's Algorithm?
Answer: For arbitrary numbers 9348, 6051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.