Highest Common Factor of 5031, 1281 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 5031, 1281 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5031, 1281 is 3 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 5031, 1281 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 5031, 1281 is 3.
HCF(5031, 1281) = 3
HCF of 5031, 1281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5031, 1281 is 3.
Highest Common Factor of 5031,1281 is 3
Step 1: Since 5031 > 1281, we apply the division lemma to 5031 and 1281, to get
5031 = 1281 x 3 + 1188
Step 2: Since the reminder 1281 ≠ 0, we apply division lemma to 1188 and 1281, to get
1281 = 1188 x 1 + 93
Step 3: We consider the new divisor 1188 and the new remainder 93, and apply the division lemma to get
1188 = 93 x 12 + 72
We consider the new divisor 93 and the new remainder 72,and apply the division lemma to get
93 = 72 x 1 + 21
We consider the new divisor 72 and the new remainder 21,and apply the division lemma to get
72 = 21 x 3 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5031 and 1281 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(72,21) = HCF(93,72) = HCF(1188,93) = HCF(1281,1188) = HCF(5031,1281) .
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Frequently Asked Questions on HCF of 5031, 1281 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 5031, 1281?
Answer: HCF of 5031, 1281 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5031, 1281 using Euclid's Algorithm?
Answer: For arbitrary numbers 5031, 1281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.