Highest Common Factor of 5251, 1548 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 5251, 1548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5251, 1548 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 5251, 1548 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 5251, 1548 is 1.
HCF(5251, 1548) = 1
HCF of 5251, 1548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5251, 1548 is 1.
Highest Common Factor of 5251,1548 is 1
Step 1: Since 5251 > 1548, we apply the division lemma to 5251 and 1548, to get
5251 = 1548 x 3 + 607
Step 2: Since the reminder 1548 ≠ 0, we apply division lemma to 607 and 1548, to get
1548 = 607 x 2 + 334
Step 3: We consider the new divisor 607 and the new remainder 334, and apply the division lemma to get
607 = 334 x 1 + 273
We consider the new divisor 334 and the new remainder 273,and apply the division lemma to get
334 = 273 x 1 + 61
We consider the new divisor 273 and the new remainder 61,and apply the division lemma to get
273 = 61 x 4 + 29
We consider the new divisor 61 and the new remainder 29,and apply the division lemma to get
61 = 29 x 2 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5251 and 1548 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(61,29) = HCF(273,61) = HCF(334,273) = HCF(607,334) = HCF(1548,607) = HCF(5251,1548) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5251, 1548 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 5251, 1548?
Answer: HCF of 5251, 1548 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5251, 1548 using Euclid's Algorithm?
Answer: For arbitrary numbers 5251, 1548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
