Highest Common Factor of 8340, 9639 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 8340, 9639 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8340, 9639 is 3 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 8340, 9639 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 8340, 9639 is 3.
HCF(8340, 9639) = 3
HCF of 8340, 9639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8340, 9639 is 3.
Highest Common Factor of 8340,9639 is 3
Step 1: Since 9639 > 8340, we apply the division lemma to 9639 and 8340, to get
9639 = 8340 x 1 + 1299
Step 2: Since the reminder 8340 ≠ 0, we apply division lemma to 1299 and 8340, to get
8340 = 1299 x 6 + 546
Step 3: We consider the new divisor 1299 and the new remainder 546, and apply the division lemma to get
1299 = 546 x 2 + 207
We consider the new divisor 546 and the new remainder 207,and apply the division lemma to get
546 = 207 x 2 + 132
We consider the new divisor 207 and the new remainder 132,and apply the division lemma to get
207 = 132 x 1 + 75
We consider the new divisor 132 and the new remainder 75,and apply the division lemma to get
132 = 75 x 1 + 57
We consider the new divisor 75 and the new remainder 57,and apply the division lemma to get
75 = 57 x 1 + 18
We consider the new divisor 57 and the new remainder 18,and apply the division lemma to get
57 = 18 x 3 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8340 and 9639 is 3
Notice that 3 = HCF(18,3) = HCF(57,18) = HCF(75,57) = HCF(132,75) = HCF(207,132) = HCF(546,207) = HCF(1299,546) = HCF(8340,1299) = HCF(9639,8340) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8340, 9639 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 8340, 9639?
Answer: HCF of 8340, 9639 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8340, 9639 using Euclid's Algorithm?
Answer: For arbitrary numbers 8340, 9639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.