Highest Common Factor of 5103, 5451 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 5103, 5451 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5103, 5451 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 5103, 5451 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 5103, 5451 is 3.
HCF(5103, 5451) = 3
HCF of 5103, 5451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5103, 5451 is 3.
Highest Common Factor of 5103,5451 is 3
Step 1: Since 5451 > 5103, we apply the division lemma to 5451 and 5103, to get
5451 = 5103 x 1 + 348
Step 2: Since the reminder 5103 ≠ 0, we apply division lemma to 348 and 5103, to get
5103 = 348 x 14 + 231
Step 3: We consider the new divisor 348 and the new remainder 231, and apply the division lemma to get
348 = 231 x 1 + 117
We consider the new divisor 231 and the new remainder 117,and apply the division lemma to get
231 = 117 x 1 + 114
We consider the new divisor 117 and the new remainder 114,and apply the division lemma to get
117 = 114 x 1 + 3
We consider the new divisor 114 and the new remainder 3,and apply the division lemma to get
114 = 3 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5103 and 5451 is 3
Notice that 3 = HCF(114,3) = HCF(117,114) = HCF(231,117) = HCF(348,231) = HCF(5103,348) = HCF(5451,5103) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5103, 5451 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 5103, 5451?
Answer: HCF of 5103, 5451 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5103, 5451 using Euclid's Algorithm?
Answer: For arbitrary numbers 5103, 5451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.