Greatest Common Factor of 280/248, 1421/2552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/248, 1421/2552

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 280/248,1421/2552

Given fractions are 280/248,1421/2552

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 280,1421

Greatest Common Factor of Numerators i.e. GCF of 280,1421 is 7 .

LCM of Denominators means LCM of 248,2552 as per the given fractions.

LCM of 248,2552 is 79112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,1421

GCF of Fractions 280/248,1421/2552 is 7/79112

7 280, 1421
40, 203

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 280,1421 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,1421 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1,7,29,49,203,1421

Greatest Common Factor

We found the factors 280,1421 . The biggest common factor number is the GCF number.
So the greatest common factor 280,1421 is 7.

Lets's calculate LCM of 248,2552

2 248, 2552
2 124, 1276
2 62, 638
31, 319

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 319 = 79112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/79112

Therefore, the GCF of Fractions 280/248,1421/2552 is 7/79112

Least Common Multiple of 248,2552 with GCF Formula

Least Common Multiple of 248,2552 with GCF Formula

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

We need to calculate greatest common factor of 248,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,2552) = 8

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

GCF(248,2552) x common factors =8 x 1 = 8

LCM(248,2552) = ( 248 × 2552 ) / 8

LCM(248,2552) = 632896 / 8

LCM(248,2552) = 79112


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 280/248, 1421/2552

1. 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.

2. What is the GCF of Fractions for 280/248, 1421/2552?

Answer: GCF of Numerators as per given numbers 280/248, 1421/2552 is

GCF of Numerators i.e. for 280,1421 is 7

LCM of denominators i.e. for 248,2552 is 79112.

Thus, GCF of Fractions is 7/79112.Finally, GCF of Fractions for 280/248, 1421/2552 is 7/79112.