Highest Common Factor of 7638, 2439 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 7638, 2439 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7638, 2439 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 7638, 2439 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 7638, 2439 is 3.
HCF(7638, 2439) = 3
HCF of 7638, 2439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7638, 2439 is 3.
Highest Common Factor of 7638,2439 is 3
Step 1: Since 7638 > 2439, we apply the division lemma to 7638 and 2439, to get
7638 = 2439 x 3 + 321
Step 2: Since the reminder 2439 ≠ 0, we apply division lemma to 321 and 2439, to get
2439 = 321 x 7 + 192
Step 3: We consider the new divisor 321 and the new remainder 192, and apply the division lemma to get
321 = 192 x 1 + 129
We consider the new divisor 192 and the new remainder 129,and apply the division lemma to get
192 = 129 x 1 + 63
We consider the new divisor 129 and the new remainder 63,and apply the division lemma to get
129 = 63 x 2 + 3
We consider the new divisor 63 and the new remainder 3,and apply the division lemma to get
63 = 3 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7638 and 2439 is 3
Notice that 3 = HCF(63,3) = HCF(129,63) = HCF(192,129) = HCF(321,192) = HCF(2439,321) = HCF(7638,2439) .
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Frequently Asked Questions on HCF of 7638, 2439 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 7638, 2439?
Answer: HCF of 7638, 2439 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7638, 2439 using Euclid's Algorithm?
Answer: For arbitrary numbers 7638, 2439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.