Highest Common Factor of 52, 988, 376 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 52, 988, 376 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 52, 988, 376 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 52, 988, 376 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 52, 988, 376 is 4.
HCF(52, 988, 376) = 4
HCF of 52, 988, 376 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 52, 988, 376 is 4.
Highest Common Factor of 52,988,376 is 4
Step 1: Since 988 > 52, we apply the division lemma to 988 and 52, to get
988 = 52 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 52 and 988 is 52
Notice that 52 = HCF(988,52) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 376 > 52, we apply the division lemma to 376 and 52, to get
376 = 52 x 7 + 12
Step 2: Since the reminder 52 ≠ 0, we apply division lemma to 12 and 52, to get
52 = 12 x 4 + 4
Step 3: We consider the new divisor 12 and the new remainder 4, and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 52 and 376 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(376,52) .
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Frequently Asked Questions on HCF of 52, 988, 376 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 52, 988, 376?
Answer: HCF of 52, 988, 376 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 52, 988, 376 using Euclid's Algorithm?
Answer: For arbitrary numbers 52, 988, 376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.