Highest Common Factor of 8751, 2430 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 8751, 2430 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8751, 2430 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 8751, 2430 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 8751, 2430 is 3.
HCF(8751, 2430) = 3
HCF of 8751, 2430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8751, 2430 is 3.
Highest Common Factor of 8751,2430 is 3
Step 1: Since 8751 > 2430, we apply the division lemma to 8751 and 2430, to get
8751 = 2430 x 3 + 1461
Step 2: Since the reminder 2430 ≠ 0, we apply division lemma to 1461 and 2430, to get
2430 = 1461 x 1 + 969
Step 3: We consider the new divisor 1461 and the new remainder 969, and apply the division lemma to get
1461 = 969 x 1 + 492
We consider the new divisor 969 and the new remainder 492,and apply the division lemma to get
969 = 492 x 1 + 477
We consider the new divisor 492 and the new remainder 477,and apply the division lemma to get
492 = 477 x 1 + 15
We consider the new divisor 477 and the new remainder 15,and apply the division lemma to get
477 = 15 x 31 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8751 and 2430 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(477,15) = HCF(492,477) = HCF(969,492) = HCF(1461,969) = HCF(2430,1461) = HCF(8751,2430) .
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Frequently Asked Questions on HCF of 8751, 2430 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 8751, 2430?
Answer: HCF of 8751, 2430 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8751, 2430 using Euclid's Algorithm?
Answer: For arbitrary numbers 8751, 2430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.