Highest Common Factor of 951, 2442 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 951, 2442 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 2442 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 951, 2442 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 951, 2442 is 3.
HCF(951, 2442) = 3
HCF of 951, 2442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 2442 is 3.
Highest Common Factor of 951,2442 is 3
Step 1: Since 2442 > 951, we apply the division lemma to 2442 and 951, to get
2442 = 951 x 2 + 540
Step 2: Since the reminder 951 ≠ 0, we apply division lemma to 540 and 951, to get
951 = 540 x 1 + 411
Step 3: We consider the new divisor 540 and the new remainder 411, and apply the division lemma to get
540 = 411 x 1 + 129
We consider the new divisor 411 and the new remainder 129,and apply the division lemma to get
411 = 129 x 3 + 24
We consider the new divisor 129 and the new remainder 24,and apply the division lemma to get
129 = 24 x 5 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 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 951 and 2442 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(129,24) = HCF(411,129) = HCF(540,411) = HCF(951,540) = HCF(2442,951) .
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Frequently Asked Questions on HCF of 951, 2442 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 951, 2442?
Answer: HCF of 951, 2442 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 2442 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 2442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.