Highest Common Factor of 532, 658 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 532, 658 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 658 is 14 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 532, 658 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 532, 658 is 14.
HCF(532, 658) = 14
HCF of 532, 658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 532, 658 is 14.
Highest Common Factor of 532,658 is 14
Step 1: Since 658 > 532, we apply the division lemma to 658 and 532, to get
658 = 532 x 1 + 126
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 126 and 532, to get
532 = 126 x 4 + 28
Step 3: We consider the new divisor 126 and the new remainder 28, and apply the division lemma to get
126 = 28 x 4 + 14
We consider the new divisor 28 and the new remainder 14, and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 532 and 658 is 14
Notice that 14 = HCF(28,14) = HCF(126,28) = HCF(532,126) = HCF(658,532) .
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Frequently Asked Questions on HCF of 532, 658 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 532, 658?
Answer: HCF of 532, 658 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 658 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.