Highest Common Factor of 532, 896, 562 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, 896, 562 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 896, 562 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 532, 896, 562 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, 896, 562 is 2.
HCF(532, 896, 562) = 2
HCF of 532, 896, 562 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, 896, 562 is 2.
Highest Common Factor of 532,896,562 is 2
Step 1: Since 896 > 532, we apply the division lemma to 896 and 532, to get
896 = 532 x 1 + 364
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 364 and 532, to get
532 = 364 x 1 + 168
Step 3: We consider the new divisor 364 and the new remainder 168, and apply the division lemma to get
364 = 168 x 2 + 28
We consider the new divisor 168 and the new remainder 28, and apply the division lemma to get
168 = 28 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 532 and 896 is 28
Notice that 28 = HCF(168,28) = HCF(364,168) = HCF(532,364) = HCF(896,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 562 > 28, we apply the division lemma to 562 and 28, to get
562 = 28 x 20 + 2
Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 2 and 28, to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 28 and 562 is 2
Notice that 2 = HCF(28,2) = HCF(562,28) .
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Frequently Asked Questions on HCF of 532, 896, 562 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, 896, 562?
Answer: HCF of 532, 896, 562 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 896, 562 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 896, 562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.