Highest Common Factor of 2411, 6381 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 2411, 6381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2411, 6381 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 2411, 6381 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 2411, 6381 is 1.
HCF(2411, 6381) = 1
HCF of 2411, 6381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2411, 6381 is 1.
Highest Common Factor of 2411,6381 is 1
Step 1: Since 6381 > 2411, we apply the division lemma to 6381 and 2411, to get
6381 = 2411 x 2 + 1559
Step 2: Since the reminder 2411 ≠ 0, we apply division lemma to 1559 and 2411, to get
2411 = 1559 x 1 + 852
Step 3: We consider the new divisor 1559 and the new remainder 852, and apply the division lemma to get
1559 = 852 x 1 + 707
We consider the new divisor 852 and the new remainder 707,and apply the division lemma to get
852 = 707 x 1 + 145
We consider the new divisor 707 and the new remainder 145,and apply the division lemma to get
707 = 145 x 4 + 127
We consider the new divisor 145 and the new remainder 127,and apply the division lemma to get
145 = 127 x 1 + 18
We consider the new divisor 127 and the new remainder 18,and apply the division lemma to get
127 = 18 x 7 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2411 and 6381 is 1
Notice that 1 = HCF(18,1) = HCF(127,18) = HCF(145,127) = HCF(707,145) = HCF(852,707) = HCF(1559,852) = HCF(2411,1559) = HCF(6381,2411) .
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Frequently Asked Questions on HCF of 2411, 6381 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 2411, 6381?
Answer: HCF of 2411, 6381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2411, 6381 using Euclid's Algorithm?
Answer: For arbitrary numbers 2411, 6381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.