How to Find GCF of 2518/984, 2123/7632?

GCF of 2518/984, 2123/7632

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 2518/984, 2123/7632 i.e 1/312912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2518/984, 2123/7632.

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 2518/984,2123/7632?

Given fractions are 2518/984,2123/7632

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 2518/984,2123/7632, numerators are 2518,2123

Denominators are 984,7632

The GCF of 2518,2123 is 1 .

LCM of 984,7632 is 312912.

The greatest common factor of 2518/984,2123/7632 = [GCF of 2518,2123]/[LCM of 984,7632]= 1/312912

Therefore, the GCF of 2518/984,2123/7632 is 1/312912.

Greatest Common Factor of 2518,2123

To find the highest common factor of 2518,2123, 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 2123 are 1, 11, 193, 2123

The HCF of 2518,2123 is 1.

Lets's calculate GCF of 2518,2123

Greatest Common Factor (GCF) of 2518,2123 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2518,2123 By Matching Biggest Common Factor Method

Now, list down the factors of 2518

1,2,1259,2518

Now, list down the factors of 2123

1,11,193,2123

Greatest Common Factor

We found the factors 2518,2123 . The biggest common factor number is the GCF number.
So the greatest common factor 2518,2123 is 1.

Lets's calculate LCM of 984,7632

Lowest Common Multiple of 984,7632 using Common Division

2	984, 7632
2	492, 3816
2	246, 1908
3	123, 954
	41, 318

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 318 = 312912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312912

Therefore, the GCF of Fractions 2518/984,2123/7632 is 1/312912

Least Common Multiple of 984,7632 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 984,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,7632) = 24

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

GCF(984,7632) x common factors =24 x 1 = 24

LCM(984,7632) = ( 984 × 7632 ) / 24

LCM(984,7632) = 7509888 / 24

LCM(984,7632) = 312912

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2518/984, 2123/7632

1. What is the HCF of 2518,2123?

The HCF of 2518,2123 is 1

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 2518/984, 2123/7632?

Answer: GCF of Numerators as per given numbers 2518/984, 2123/7632 is

GCF of Numerators i.e. for 2518,2123 is 1

LCM of denominators i.e. for 984,7632 is 312912.

Thus, GCF of Fractions is 1/312912.Finally, GCF of Fractions for 2518/984, 2123/7632 is 1/312912.