Highest Common Factor of 8275, 9613 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 8275, 9613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8275, 9613 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 8275, 9613 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 8275, 9613 is 1.
HCF(8275, 9613) = 1
HCF of 8275, 9613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8275, 9613 is 1.
Highest Common Factor of 8275,9613 is 1
Step 1: Since 9613 > 8275, we apply the division lemma to 9613 and 8275, to get
9613 = 8275 x 1 + 1338
Step 2: Since the reminder 8275 ≠ 0, we apply division lemma to 1338 and 8275, to get
8275 = 1338 x 6 + 247
Step 3: We consider the new divisor 1338 and the new remainder 247, and apply the division lemma to get
1338 = 247 x 5 + 103
We consider the new divisor 247 and the new remainder 103,and apply the division lemma to get
247 = 103 x 2 + 41
We consider the new divisor 103 and the new remainder 41,and apply the division lemma to get
103 = 41 x 2 + 21
We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8275 and 9613 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(103,41) = HCF(247,103) = HCF(1338,247) = HCF(8275,1338) = HCF(9613,8275) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8275, 9613 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 8275, 9613?
Answer: HCF of 8275, 9613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8275, 9613 using Euclid's Algorithm?
Answer: For arbitrary numbers 8275, 9613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.