Highest Common Factor of 616, 5152 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 616, 5152 i.e. 56 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 5152 is 56 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 616, 5152 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 616, 5152 is 56.
HCF(616, 5152) = 56
HCF of 616, 5152 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 5152 is 56.
Highest Common Factor of 616,5152 is 56
Step 1: Since 5152 > 616, we apply the division lemma to 5152 and 616, to get
5152 = 616 x 8 + 224
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 224 and 616, to get
616 = 224 x 2 + 168
Step 3: We consider the new divisor 224 and the new remainder 168, and apply the division lemma to get
224 = 168 x 1 + 56
We consider the new divisor 168 and the new remainder 56, and apply the division lemma to get
168 = 56 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 616 and 5152 is 56
Notice that 56 = HCF(168,56) = HCF(224,168) = HCF(616,224) = HCF(5152,616) .
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Frequently Asked Questions on HCF of 616, 5152 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 616, 5152?
Answer: HCF of 616, 5152 is 56 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 5152 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 5152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.