Highest Common Factor of 924, 572 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 924, 572 i.e. 44 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 572 is 44 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 924, 572 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 924, 572 is 44.
HCF(924, 572) = 44
HCF of 924, 572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 572 is 44.
Highest Common Factor of 924,572 is 44
Step 1: Since 924 > 572, we apply the division lemma to 924 and 572, to get
924 = 572 x 1 + 352
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 352 and 572, to get
572 = 352 x 1 + 220
Step 3: We consider the new divisor 352 and the new remainder 220, and apply the division lemma to get
352 = 220 x 1 + 132
We consider the new divisor 220 and the new remainder 132,and apply the division lemma to get
220 = 132 x 1 + 88
We consider the new divisor 132 and the new remainder 88,and apply the division lemma to get
132 = 88 x 1 + 44
We consider the new divisor 88 and the new remainder 44,and apply the division lemma to get
88 = 44 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 924 and 572 is 44
Notice that 44 = HCF(88,44) = HCF(132,88) = HCF(220,132) = HCF(352,220) = HCF(572,352) = HCF(924,572) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 924, 572 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 924, 572?
Answer: HCF of 924, 572 is 44 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 572 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.