Highest Common Factor of 5404, 952 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 5404, 952 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 5404, 952 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 5404, 952 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 5404, 952 is 28.
HCF(5404, 952) = 28
HCF of 5404, 952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5404, 952 is 28.
Highest Common Factor of 5404,952 is 28
Step 1: Since 5404 > 952, we apply the division lemma to 5404 and 952, to get
5404 = 952 x 5 + 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 5404 and 952 is 28
Notice that 28 = HCF(308,28) = HCF(644,308) = HCF(952,644) = HCF(5404,952) .
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Frequently Asked Questions on HCF of 5404, 952 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 5404, 952?
Answer: HCF of 5404, 952 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5404, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 5404, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.