Highest Common Factor of 9846, 6087 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 9846, 6087 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9846, 6087 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 9846, 6087 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 9846, 6087 is 3.
HCF(9846, 6087) = 3
HCF of 9846, 6087 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9846, 6087 is 3.
Highest Common Factor of 9846,6087 is 3
Step 1: Since 9846 > 6087, we apply the division lemma to 9846 and 6087, to get
9846 = 6087 x 1 + 3759
Step 2: Since the reminder 6087 ≠ 0, we apply division lemma to 3759 and 6087, to get
6087 = 3759 x 1 + 2328
Step 3: We consider the new divisor 3759 and the new remainder 2328, and apply the division lemma to get
3759 = 2328 x 1 + 1431
We consider the new divisor 2328 and the new remainder 1431,and apply the division lemma to get
2328 = 1431 x 1 + 897
We consider the new divisor 1431 and the new remainder 897,and apply the division lemma to get
1431 = 897 x 1 + 534
We consider the new divisor 897 and the new remainder 534,and apply the division lemma to get
897 = 534 x 1 + 363
We consider the new divisor 534 and the new remainder 363,and apply the division lemma to get
534 = 363 x 1 + 171
We consider the new divisor 363 and the new remainder 171,and apply the division lemma to get
363 = 171 x 2 + 21
We consider the new divisor 171 and the new remainder 21,and apply the division lemma to get
171 = 21 x 8 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9846 and 6087 is 3
Notice that 3 = HCF(21,3) = HCF(171,21) = HCF(363,171) = HCF(534,363) = HCF(897,534) = HCF(1431,897) = HCF(2328,1431) = HCF(3759,2328) = HCF(6087,3759) = HCF(9846,6087) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9846, 6087 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 9846, 6087?
Answer: HCF of 9846, 6087 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9846, 6087 using Euclid's Algorithm?
Answer: For arbitrary numbers 9846, 6087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
