Highest Common Factor of 9601, 9113 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 9601, 9113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9601, 9113 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 9601, 9113 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 9601, 9113 is 1.
HCF(9601, 9113) = 1
HCF of 9601, 9113 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9601, 9113 is 1.
Highest Common Factor of 9601,9113 is 1
Step 1: Since 9601 > 9113, we apply the division lemma to 9601 and 9113, to get
9601 = 9113 x 1 + 488
Step 2: Since the reminder 9113 ≠ 0, we apply division lemma to 488 and 9113, to get
9113 = 488 x 18 + 329
Step 3: We consider the new divisor 488 and the new remainder 329, and apply the division lemma to get
488 = 329 x 1 + 159
We consider the new divisor 329 and the new remainder 159,and apply the division lemma to get
329 = 159 x 2 + 11
We consider the new divisor 159 and the new remainder 11,and apply the division lemma to get
159 = 11 x 14 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9601 and 9113 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(159,11) = HCF(329,159) = HCF(488,329) = HCF(9113,488) = HCF(9601,9113) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9601, 9113 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 9601, 9113?
Answer: HCF of 9601, 9113 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9601, 9113 using Euclid's Algorithm?
Answer: For arbitrary numbers 9601, 9113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.