Highest Common Factor of 952, 18732 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 952, 18732 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 952, 18732 is 28 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 952, 18732 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 952, 18732 is 28.
HCF(952, 18732) = 28
HCF of 952, 18732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 952, 18732 is 28.
Highest Common Factor of 952,18732 is 28
Step 1: Since 18732 > 952, we apply the division lemma to 18732 and 952, to get
18732 = 952 x 19 + 644
Step 2: Since the reminder 952 ≠ 0, we apply division lemma to 644 and 952, to get
952 = 644 x 1 + 308
Step 3: We consider the new divisor 644 and the new remainder 308, and apply the division lemma to get
644 = 308 x 2 + 28
We consider the new divisor 308 and the new remainder 28, and apply the division lemma to get
308 = 28 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 952 and 18732 is 28
Notice that 28 = HCF(308,28) = HCF(644,308) = HCF(952,644) = HCF(18732,952) .
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Frequently Asked Questions on HCF of 952, 18732 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 952, 18732?
Answer: HCF of 952, 18732 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 952, 18732 using Euclid's Algorithm?
Answer: For arbitrary numbers 952, 18732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.