Highest Common Factor of 8271, 7341 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 8271, 7341 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8271, 7341 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 8271, 7341 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 8271, 7341 is 3.
HCF(8271, 7341) = 3
HCF of 8271, 7341 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8271, 7341 is 3.
Highest Common Factor of 8271,7341 is 3
Step 1: Since 8271 > 7341, we apply the division lemma to 8271 and 7341, to get
8271 = 7341 x 1 + 930
Step 2: Since the reminder 7341 ≠ 0, we apply division lemma to 930 and 7341, to get
7341 = 930 x 7 + 831
Step 3: We consider the new divisor 930 and the new remainder 831, and apply the division lemma to get
930 = 831 x 1 + 99
We consider the new divisor 831 and the new remainder 99,and apply the division lemma to get
831 = 99 x 8 + 39
We consider the new divisor 99 and the new remainder 39,and apply the division lemma to get
99 = 39 x 2 + 21
We consider the new divisor 39 and the new remainder 21,and apply the division lemma to get
39 = 21 x 1 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 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 8271 and 7341 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(39,21) = HCF(99,39) = HCF(831,99) = HCF(930,831) = HCF(7341,930) = HCF(8271,7341) .
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Frequently Asked Questions on HCF of 8271, 7341 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 8271, 7341?
Answer: HCF of 8271, 7341 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8271, 7341 using Euclid's Algorithm?
Answer: For arbitrary numbers 8271, 7341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
