Highest Common Factor of 5387, 2158 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 5387, 2158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5387, 2158 is 1 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 5387, 2158 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 5387, 2158 is 1.
HCF(5387, 2158) = 1
HCF of 5387, 2158 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5387, 2158 is 1.
Highest Common Factor of 5387,2158 is 1
Step 1: Since 5387 > 2158, we apply the division lemma to 5387 and 2158, to get
5387 = 2158 x 2 + 1071
Step 2: Since the reminder 2158 ≠ 0, we apply division lemma to 1071 and 2158, to get
2158 = 1071 x 2 + 16
Step 3: We consider the new divisor 1071 and the new remainder 16, and apply the division lemma to get
1071 = 16 x 66 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5387 and 2158 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(1071,16) = HCF(2158,1071) = HCF(5387,2158) .
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Frequently Asked Questions on HCF of 5387, 2158 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 5387, 2158?
Answer: HCF of 5387, 2158 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5387, 2158 using Euclid's Algorithm?
Answer: For arbitrary numbers 5387, 2158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.