Highest Common Factor of 2630, 7414 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 2630, 7414 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2630, 7414 is 2 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 2630, 7414 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 2630, 7414 is 2.
HCF(2630, 7414) = 2
HCF of 2630, 7414 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2630, 7414 is 2.
Highest Common Factor of 2630,7414 is 2
Step 1: Since 7414 > 2630, we apply the division lemma to 7414 and 2630, to get
7414 = 2630 x 2 + 2154
Step 2: Since the reminder 2630 ≠ 0, we apply division lemma to 2154 and 2630, to get
2630 = 2154 x 1 + 476
Step 3: We consider the new divisor 2154 and the new remainder 476, and apply the division lemma to get
2154 = 476 x 4 + 250
We consider the new divisor 476 and the new remainder 250,and apply the division lemma to get
476 = 250 x 1 + 226
We consider the new divisor 250 and the new remainder 226,and apply the division lemma to get
250 = 226 x 1 + 24
We consider the new divisor 226 and the new remainder 24,and apply the division lemma to get
226 = 24 x 9 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2630 and 7414 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(226,24) = HCF(250,226) = HCF(476,250) = HCF(2154,476) = HCF(2630,2154) = HCF(7414,2630) .
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Frequently Asked Questions on HCF of 2630, 7414 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 2630, 7414?
Answer: HCF of 2630, 7414 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2630, 7414 using Euclid's Algorithm?
Answer: For arbitrary numbers 2630, 7414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.