Highest Common Factor of 576, 932 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 576, 932 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 576, 932 is 4 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 576, 932 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 576, 932 is 4.
HCF(576, 932) = 4
HCF of 576, 932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 576, 932 is 4.
Highest Common Factor of 576,932 is 4
Step 1: Since 932 > 576, we apply the division lemma to 932 and 576, to get
932 = 576 x 1 + 356
Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 356 and 576, to get
576 = 356 x 1 + 220
Step 3: We consider the new divisor 356 and the new remainder 220, and apply the division lemma to get
356 = 220 x 1 + 136
We consider the new divisor 220 and the new remainder 136,and apply the division lemma to get
220 = 136 x 1 + 84
We consider the new divisor 136 and the new remainder 84,and apply the division lemma to get
136 = 84 x 1 + 52
We consider the new divisor 84 and the new remainder 52,and apply the division lemma to get
84 = 52 x 1 + 32
We consider the new divisor 52 and the new remainder 32,and apply the division lemma to get
52 = 32 x 1 + 20
We consider the new divisor 32 and the new remainder 20,and apply the division lemma to get
32 = 20 x 1 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 576 and 932 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(32,20) = HCF(52,32) = HCF(84,52) = HCF(136,84) = HCF(220,136) = HCF(356,220) = HCF(576,356) = HCF(932,576) .
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Frequently Asked Questions on HCF of 576, 932 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 576, 932?
Answer: HCF of 576, 932 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 576, 932 using Euclid's Algorithm?
Answer: For arbitrary numbers 576, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
