Highest Common Factor of 9660, 2871 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 9660, 2871 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9660, 2871 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 9660, 2871 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 9660, 2871 is 3.
HCF(9660, 2871) = 3
HCF of 9660, 2871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9660, 2871 is 3.
Highest Common Factor of 9660,2871 is 3
Step 1: Since 9660 > 2871, we apply the division lemma to 9660 and 2871, to get
9660 = 2871 x 3 + 1047
Step 2: Since the reminder 2871 ≠ 0, we apply division lemma to 1047 and 2871, to get
2871 = 1047 x 2 + 777
Step 3: We consider the new divisor 1047 and the new remainder 777, and apply the division lemma to get
1047 = 777 x 1 + 270
We consider the new divisor 777 and the new remainder 270,and apply the division lemma to get
777 = 270 x 2 + 237
We consider the new divisor 270 and the new remainder 237,and apply the division lemma to get
270 = 237 x 1 + 33
We consider the new divisor 237 and the new remainder 33,and apply the division lemma to get
237 = 33 x 7 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9660 and 2871 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(237,33) = HCF(270,237) = HCF(777,270) = HCF(1047,777) = HCF(2871,1047) = HCF(9660,2871) .
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Frequently Asked Questions on HCF of 9660, 2871 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 9660, 2871?
Answer: HCF of 9660, 2871 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9660, 2871 using Euclid's Algorithm?
Answer: For arbitrary numbers 9660, 2871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.