Highest Common Factor of 6051, 4911 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 6051, 4911 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6051, 4911 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 6051, 4911 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 6051, 4911 is 3.
HCF(6051, 4911) = 3
HCF of 6051, 4911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6051, 4911 is 3.
Highest Common Factor of 6051,4911 is 3
Step 1: Since 6051 > 4911, we apply the division lemma to 6051 and 4911, to get
6051 = 4911 x 1 + 1140
Step 2: Since the reminder 4911 ≠ 0, we apply division lemma to 1140 and 4911, to get
4911 = 1140 x 4 + 351
Step 3: We consider the new divisor 1140 and the new remainder 351, and apply the division lemma to get
1140 = 351 x 3 + 87
We consider the new divisor 351 and the new remainder 87,and apply the division lemma to get
351 = 87 x 4 + 3
We consider the new divisor 87 and the new remainder 3,and apply the division lemma to get
87 = 3 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6051 and 4911 is 3
Notice that 3 = HCF(87,3) = HCF(351,87) = HCF(1140,351) = HCF(4911,1140) = HCF(6051,4911) .
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Frequently Asked Questions on HCF of 6051, 4911 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 6051, 4911?
Answer: HCF of 6051, 4911 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6051, 4911 using Euclid's Algorithm?
Answer: For arbitrary numbers 6051, 4911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.