Highest Common Factor of 9916, 9753 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 9916, 9753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9916, 9753 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 9916, 9753 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 9916, 9753 is 1.
HCF(9916, 9753) = 1
HCF of 9916, 9753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9916, 9753 is 1.
Highest Common Factor of 9916,9753 is 1
Step 1: Since 9916 > 9753, we apply the division lemma to 9916 and 9753, to get
9916 = 9753 x 1 + 163
Step 2: Since the reminder 9753 ≠ 0, we apply division lemma to 163 and 9753, to get
9753 = 163 x 59 + 136
Step 3: We consider the new divisor 163 and the new remainder 136, and apply the division lemma to get
163 = 136 x 1 + 27
We consider the new divisor 136 and the new remainder 27,and apply the division lemma to get
136 = 27 x 5 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9916 and 9753 is 1
Notice that 1 = HCF(27,1) = HCF(136,27) = HCF(163,136) = HCF(9753,163) = HCF(9916,9753) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9916, 9753 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 9916, 9753?
Answer: HCF of 9916, 9753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9916, 9753 using Euclid's Algorithm?
Answer: For arbitrary numbers 9916, 9753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.