Highest Common Factor of 5427, 5292 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 5427, 5292 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 5427, 5292 is 27 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 5427, 5292 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 5427, 5292 is 27.
HCF(5427, 5292) = 27
HCF of 5427, 5292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5427, 5292 is 27.
Highest Common Factor of 5427,5292 is 27
Step 1: Since 5427 > 5292, we apply the division lemma to 5427 and 5292, to get
5427 = 5292 x 1 + 135
Step 2: Since the reminder 5292 ≠ 0, we apply division lemma to 135 and 5292, to get
5292 = 135 x 39 + 27
Step 3: We consider the new divisor 135 and the new remainder 27, and apply the division lemma to get
135 = 27 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 5427 and 5292 is 27
Notice that 27 = HCF(135,27) = HCF(5292,135) = HCF(5427,5292) .
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Frequently Asked Questions on HCF of 5427, 5292 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 5427, 5292?
Answer: HCF of 5427, 5292 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5427, 5292 using Euclid's Algorithm?
Answer: For arbitrary numbers 5427, 5292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.