Greatest Common Factor of 248/244, 687/681, 142/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/244, 687/681, 142/316

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 248/244,687/681,142/316

Given fractions are 248/244,687/681,142/316

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 248,687,142

Greatest Common Factor of Numerators i.e. GCF of 248,687,142 is 1 .

LCM of Denominators means LCM of 244,681,316 as per the given fractions.

LCM of 244,681,316 is 13126956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,687,142

GCF of Fractions 248/244,687/681,142/316 is 1/13126956

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

Greatest Common Factor of 248,687,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,687,142 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 248,687,142 . The biggest common factor number is the GCF number.
So the greatest common factor 248,687,142 is 1.

Lets's calculate LCM of 244,681,316

2 244, 681, 316
2 122, 681, 158
61, 681, 79

∴ So the LCM of the given numbers is 2 x 2 x 61 x 681 x 79 = 13126956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13126956

Therefore, the GCF of Fractions 248/244,687/681,142/316 is 1/13126956

Least Common Multiple of 244,681,316 with GCF Formula

Least Common Multiple of 244,681,316 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 244,681,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,681,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(244,681,316) x common factors =1 x 4 = 4

LCM(244,681,316) = ( 244 × 681 × 316 ) / 4

LCM(244,681,316) = 52507824 / 4

LCM(244,681,316) = 13126956


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 248/244, 687/681, 142/316

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 248/244, 687/681, 142/316?

Answer: GCF of Numerators as per given numbers 248/244, 687/681, 142/316 is

GCF of Numerators i.e. for 248,687,142 is 1

LCM of denominators i.e. for 244,681,316 is 13126956.

Thus, GCF of Fractions is 1/13126956.Finally, GCF of Fractions for 248/244, 687/681, 142/316 is 1/13126956.