Highest Common Factor of 6464, 2518 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 6464, 2518 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6464, 2518 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 6464, 2518 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 6464, 2518 is 2.
HCF(6464, 2518) = 2
HCF of 6464, 2518 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6464, 2518 is 2.
Highest Common Factor of 6464,2518 is 2
Step 1: Since 6464 > 2518, we apply the division lemma to 6464 and 2518, to get
6464 = 2518 x 2 + 1428
Step 2: Since the reminder 2518 ≠ 0, we apply division lemma to 1428 and 2518, to get
2518 = 1428 x 1 + 1090
Step 3: We consider the new divisor 1428 and the new remainder 1090, and apply the division lemma to get
1428 = 1090 x 1 + 338
We consider the new divisor 1090 and the new remainder 338,and apply the division lemma to get
1090 = 338 x 3 + 76
We consider the new divisor 338 and the new remainder 76,and apply the division lemma to get
338 = 76 x 4 + 34
We consider the new divisor 76 and the new remainder 34,and apply the division lemma to get
76 = 34 x 2 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6464 and 2518 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(76,34) = HCF(338,76) = HCF(1090,338) = HCF(1428,1090) = HCF(2518,1428) = HCF(6464,2518) .
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Frequently Asked Questions on HCF of 6464, 2518 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 6464, 2518?
Answer: HCF of 6464, 2518 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6464, 2518 using Euclid's Algorithm?
Answer: For arbitrary numbers 6464, 2518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
