Highest Common Factor of 728, 156, 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 728, 156, 572 i.e. 52 the largest integer that leaves a remainder zero for all numbers.
HCF of 728, 156, 572 is 52 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 728, 156, 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 728, 156, 572 is 52.
HCF(728, 156, 572) = 52
HCF of 728, 156, 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 728, 156, 572 is 52.
Highest Common Factor of 728,156,572 is 52
Step 1: Since 728 > 156, we apply the division lemma to 728 and 156, to get
728 = 156 x 4 + 104
Step 2: Since the reminder 156 ≠ 0, we apply division lemma to 104 and 156, to get
156 = 104 x 1 + 52
Step 3: We consider the new divisor 104 and the new remainder 52, and apply the division lemma to get
104 = 52 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 728 and 156 is 52
Notice that 52 = HCF(104,52) = HCF(156,104) = HCF(728,156) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 572 > 52, we apply the division lemma to 572 and 52, to get
572 = 52 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 52 and 572 is 52
Notice that 52 = HCF(572,52) .
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Frequently Asked Questions on HCF of 728, 156, 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 728, 156, 572?
Answer: HCF of 728, 156, 572 is 52 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 728, 156, 572 using Euclid's Algorithm?
Answer: For arbitrary numbers 728, 156, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.