Greatest Common Factor of 252/78, 407/25, 299/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/78, 407/25, 299/338

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 252/78,407/25,299/338

Given fractions are 252/78,407/25,299/338

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 252,407,299

Greatest Common Factor of Numerators i.e. GCF of 252,407,299 is 1 .

LCM of Denominators means LCM of 78,25,338 as per the given fractions.

LCM of 78,25,338 is 25350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,407,299

GCF of Fractions 252/78,407/25,299/338 is 1/25350

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

Greatest Common Factor of 252,407,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,407,299 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 252,407,299 . The biggest common factor number is the GCF number.
So the greatest common factor 252,407,299 is 1.

Lets's calculate LCM of 78,25,338

2 78, 25, 338
13 39, 25, 169
3, 25, 13

∴ So the LCM of the given numbers is 2 x 13 x 3 x 25 x 13 = 25350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25350

Therefore, the GCF of Fractions 252/78,407/25,299/338 is 1/25350

Least Common Multiple of 78,25,338 with GCF Formula

Least Common Multiple of 78,25,338 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 78,25,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,25,338) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(78,25,338) x common factors =1 x 26 = 26

LCM(78,25,338) = ( 78 × 25 × 338 ) / 26

LCM(78,25,338) = 659100 / 26

LCM(78,25,338) = 25350


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 252/78, 407/25, 299/338

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 252/78, 407/25, 299/338?

Answer: GCF of Numerators as per given numbers 252/78, 407/25, 299/338 is

GCF of Numerators i.e. for 252,407,299 is 1

LCM of denominators i.e. for 78,25,338 is 25350.

Thus, GCF of Fractions is 1/25350.Finally, GCF of Fractions for 252/78, 407/25, 299/338 is 1/25350.