Highest Common Factor of 4564, 6664 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 4564, 6664 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 4564, 6664 is 28 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 4564, 6664 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 4564, 6664 is 28.
HCF(4564, 6664) = 28
HCF of 4564, 6664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4564, 6664 is 28.
Highest Common Factor of 4564,6664 is 28
Step 1: Since 6664 > 4564, we apply the division lemma to 6664 and 4564, to get
6664 = 4564 x 1 + 2100
Step 2: Since the reminder 4564 ≠ 0, we apply division lemma to 2100 and 4564, to get
4564 = 2100 x 2 + 364
Step 3: We consider the new divisor 2100 and the new remainder 364, and apply the division lemma to get
2100 = 364 x 5 + 280
We consider the new divisor 364 and the new remainder 280,and apply the division lemma to get
364 = 280 x 1 + 84
We consider the new divisor 280 and the new remainder 84,and apply the division lemma to get
280 = 84 x 3 + 28
We consider the new divisor 84 and the new remainder 28,and apply the division lemma to get
84 = 28 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 4564 and 6664 is 28
Notice that 28 = HCF(84,28) = HCF(280,84) = HCF(364,280) = HCF(2100,364) = HCF(4564,2100) = HCF(6664,4564) .
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Frequently Asked Questions on HCF of 4564, 6664 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 4564, 6664?
Answer: HCF of 4564, 6664 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4564, 6664 using Euclid's Algorithm?
Answer: For arbitrary numbers 4564, 6664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.