Highest Common Factor of 9516, 2497 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 9516, 2497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9516, 2497 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 9516, 2497 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 9516, 2497 is 1.
HCF(9516, 2497) = 1
HCF of 9516, 2497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9516, 2497 is 1.
Highest Common Factor of 9516,2497 is 1
Step 1: Since 9516 > 2497, we apply the division lemma to 9516 and 2497, to get
9516 = 2497 x 3 + 2025
Step 2: Since the reminder 2497 ≠ 0, we apply division lemma to 2025 and 2497, to get
2497 = 2025 x 1 + 472
Step 3: We consider the new divisor 2025 and the new remainder 472, and apply the division lemma to get
2025 = 472 x 4 + 137
We consider the new divisor 472 and the new remainder 137,and apply the division lemma to get
472 = 137 x 3 + 61
We consider the new divisor 137 and the new remainder 61,and apply the division lemma to get
137 = 61 x 2 + 15
We consider the new divisor 61 and the new remainder 15,and apply the division lemma to get
61 = 15 x 4 + 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 9516 and 2497 is 1
Notice that 1 = HCF(15,1) = HCF(61,15) = HCF(137,61) = HCF(472,137) = HCF(2025,472) = HCF(2497,2025) = HCF(9516,2497) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9516, 2497 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 9516, 2497?
Answer: HCF of 9516, 2497 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9516, 2497 using Euclid's Algorithm?
Answer: For arbitrary numbers 9516, 2497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.