Highest Common Factor of 5946, 6472 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 5946, 6472 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5946, 6472 is 2 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 5946, 6472 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 5946, 6472 is 2.
HCF(5946, 6472) = 2
HCF of 5946, 6472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5946, 6472 is 2.
Highest Common Factor of 5946,6472 is 2
Step 1: Since 6472 > 5946, we apply the division lemma to 6472 and 5946, to get
6472 = 5946 x 1 + 526
Step 2: Since the reminder 5946 ≠ 0, we apply division lemma to 526 and 5946, to get
5946 = 526 x 11 + 160
Step 3: We consider the new divisor 526 and the new remainder 160, and apply the division lemma to get
526 = 160 x 3 + 46
We consider the new divisor 160 and the new remainder 46,and apply the division lemma to get
160 = 46 x 3 + 22
We consider the new divisor 46 and the new remainder 22,and apply the division lemma to get
46 = 22 x 2 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5946 and 6472 is 2
Notice that 2 = HCF(22,2) = HCF(46,22) = HCF(160,46) = HCF(526,160) = HCF(5946,526) = HCF(6472,5946) .
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Frequently Asked Questions on HCF of 5946, 6472 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 5946, 6472?
Answer: HCF of 5946, 6472 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5946, 6472 using Euclid's Algorithm?
Answer: For arbitrary numbers 5946, 6472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.