Highest Common Factor of 1239, 9637 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 1239, 9637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1239, 9637 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 1239, 9637 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 1239, 9637 is 1.
HCF(1239, 9637) = 1
HCF of 1239, 9637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1239, 9637 is 1.
Highest Common Factor of 1239,9637 is 1
Step 1: Since 9637 > 1239, we apply the division lemma to 9637 and 1239, to get
9637 = 1239 x 7 + 964
Step 2: Since the reminder 1239 ≠ 0, we apply division lemma to 964 and 1239, to get
1239 = 964 x 1 + 275
Step 3: We consider the new divisor 964 and the new remainder 275, and apply the division lemma to get
964 = 275 x 3 + 139
We consider the new divisor 275 and the new remainder 139,and apply the division lemma to get
275 = 139 x 1 + 136
We consider the new divisor 139 and the new remainder 136,and apply the division lemma to get
139 = 136 x 1 + 3
We consider the new divisor 136 and the new remainder 3,and apply the division lemma to get
136 = 3 x 45 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1239 and 9637 is 1
Notice that 1 = HCF(3,1) = HCF(136,3) = HCF(139,136) = HCF(275,139) = HCF(964,275) = HCF(1239,964) = HCF(9637,1239) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1239, 9637 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 1239, 9637?
Answer: HCF of 1239, 9637 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1239, 9637 using Euclid's Algorithm?
Answer: For arbitrary numbers 1239, 9637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.