Highest Common Factor of 8424, 2451 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 8424, 2451 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8424, 2451 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 8424, 2451 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 8424, 2451 is 3.
HCF(8424, 2451) = 3
HCF of 8424, 2451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8424, 2451 is 3.
Highest Common Factor of 8424,2451 is 3
Step 1: Since 8424 > 2451, we apply the division lemma to 8424 and 2451, to get
8424 = 2451 x 3 + 1071
Step 2: Since the reminder 2451 ≠ 0, we apply division lemma to 1071 and 2451, to get
2451 = 1071 x 2 + 309
Step 3: We consider the new divisor 1071 and the new remainder 309, and apply the division lemma to get
1071 = 309 x 3 + 144
We consider the new divisor 309 and the new remainder 144,and apply the division lemma to get
309 = 144 x 2 + 21
We consider the new divisor 144 and the new remainder 21,and apply the division lemma to get
144 = 21 x 6 + 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 8424 and 2451 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(144,21) = HCF(309,144) = HCF(1071,309) = HCF(2451,1071) = HCF(8424,2451) .
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Frequently Asked Questions on HCF of 8424, 2451 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 8424, 2451?
Answer: HCF of 8424, 2451 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8424, 2451 using Euclid's Algorithm?
Answer: For arbitrary numbers 8424, 2451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.