Highest Common Factor of 9680, 5167 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 9680, 5167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9680, 5167 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 9680, 5167 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 9680, 5167 is 1.
HCF(9680, 5167) = 1
HCF of 9680, 5167 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9680, 5167 is 1.
Highest Common Factor of 9680,5167 is 1
Step 1: Since 9680 > 5167, we apply the division lemma to 9680 and 5167, to get
9680 = 5167 x 1 + 4513
Step 2: Since the reminder 5167 ≠ 0, we apply division lemma to 4513 and 5167, to get
5167 = 4513 x 1 + 654
Step 3: We consider the new divisor 4513 and the new remainder 654, and apply the division lemma to get
4513 = 654 x 6 + 589
We consider the new divisor 654 and the new remainder 589,and apply the division lemma to get
654 = 589 x 1 + 65
We consider the new divisor 589 and the new remainder 65,and apply the division lemma to get
589 = 65 x 9 + 4
We consider the new divisor 65 and the new remainder 4,and apply the division lemma to get
65 = 4 x 16 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9680 and 5167 is 1
Notice that 1 = HCF(4,1) = HCF(65,4) = HCF(589,65) = HCF(654,589) = HCF(4513,654) = HCF(5167,4513) = HCF(9680,5167) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9680, 5167 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 9680, 5167?
Answer: HCF of 9680, 5167 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9680, 5167 using Euclid's Algorithm?
Answer: For arbitrary numbers 9680, 5167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.