Highest Common Factor of 9659, 6232 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 9659, 6232 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9659, 6232 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 9659, 6232 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 9659, 6232 is 1.
HCF(9659, 6232) = 1
HCF of 9659, 6232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9659, 6232 is 1.
Highest Common Factor of 9659,6232 is 1
Step 1: Since 9659 > 6232, we apply the division lemma to 9659 and 6232, to get
9659 = 6232 x 1 + 3427
Step 2: Since the reminder 6232 ≠ 0, we apply division lemma to 3427 and 6232, to get
6232 = 3427 x 1 + 2805
Step 3: We consider the new divisor 3427 and the new remainder 2805, and apply the division lemma to get
3427 = 2805 x 1 + 622
We consider the new divisor 2805 and the new remainder 622,and apply the division lemma to get
2805 = 622 x 4 + 317
We consider the new divisor 622 and the new remainder 317,and apply the division lemma to get
622 = 317 x 1 + 305
We consider the new divisor 317 and the new remainder 305,and apply the division lemma to get
317 = 305 x 1 + 12
We consider the new divisor 305 and the new remainder 12,and apply the division lemma to get
305 = 12 x 25 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9659 and 6232 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(305,12) = HCF(317,305) = HCF(622,317) = HCF(2805,622) = HCF(3427,2805) = HCF(6232,3427) = HCF(9659,6232) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9659, 6232 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 9659, 6232?
Answer: HCF of 9659, 6232 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9659, 6232 using Euclid's Algorithm?
Answer: For arbitrary numbers 9659, 6232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.