How to Find GCF of 2518/461, 8638/8471?

GCF of 2518/461, 8638/8471

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2518/461, 8638/8471 i.e 2/3905131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2518/461, 8638/8471.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2518/461,8638/8471?

Given fractions are 2518/461,8638/8471

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2518/461,8638/8471, numerators are 2518,8638

Denominators are 461,8471

The GCF of 2518,8638 is 2 .

LCM of 461,8471 is 3905131.

The greatest common factor of 2518/461,8638/8471 = [GCF of 2518,8638]/[LCM of 461,8471]= 2/3905131

Therefore, the GCF of 2518/461,8638/8471 is 2/3905131.

Greatest Common Factor of 2518,8638

To find the highest common factor of 2518,8638, we have to find the factors of both numbers and list the highest common factor.

The factors of 2518 are 1, 2, 1259, 2518

The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638

The HCF of 2518,8638 is 2.

Lets's calculate GCF of 2518,8638

Greatest Common Factor (GCF) of 2518,8638 By Common Division

2	2518, 8638
	1259, 4319

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2518,8638 By Matching Biggest Common Factor Method

Now, list down the factors of 2518

1,2,1259,2518

Now, list down the factors of 8638

1,2,7,14,617,1234,4319,8638

Greatest Common Factor

We found the factors 2518,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 2518,8638 is 2.

Lets's calculate LCM of 461,8471

Lowest Common Multiple of 461,8471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3905131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3905131

Therefore, the GCF of Fractions 2518/461,8638/8471 is 2/3905131

Least Common Multiple of 461,8471 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 461,8471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,8471) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(461,8471) x common factors =1 x 1 = 1

LCM(461,8471) = ( 461 × 8471 ) / 1

LCM(461,8471) = 3905131 / 1

LCM(461,8471) = 3905131

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2518/461, 8638/8471

1. What is the HCF of 2518,8638?

The HCF of 2518,8638 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2518/461, 8638/8471?

Answer: GCF of Numerators as per given numbers 2518/461, 8638/8471 is

GCF of Numerators i.e. for 2518,8638 is 2

LCM of denominators i.e. for 461,8471 is 3905131.

Thus, GCF of Fractions is 2/3905131.Finally, GCF of Fractions for 2518/461, 8638/8471 is 2/3905131.