Greatest Common Factor of 25/58, 22/174, 314/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/58, 22/174, 314/642

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 25/58,22/174,314/642

Given fractions are 25/58,22/174,314/642

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 25,22,314

Greatest Common Factor of Numerators i.e. GCF of 25,22,314 is 1 .

LCM of Denominators means LCM of 58,174,642 as per the given fractions.

LCM of 58,174,642 is 18618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,22,314

GCF of Fractions 25/58,22/174,314/642 is 1/18618

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

Greatest Common Factor of 25,22,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,22,314 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 25,22,314 . The biggest common factor number is the GCF number.
So the greatest common factor 25,22,314 is 1.

Lets's calculate LCM of 58,174,642

2 58, 174, 642
3 29, 87, 321
29 29, 29, 107
1, 1, 107

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 1 x 107 = 18618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18618

Therefore, the GCF of Fractions 25/58,22/174,314/642 is 1/18618

Least Common Multiple of 58,174,642 with GCF Formula

Least Common Multiple of 58,174,642 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 58,174,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,174,642) = 2

common factors(in case of two or more numbers have common factors) = 174

GCF(58,174,642) x common factors =2 x 174 = 348

LCM(58,174,642) = ( 58 × 174 × 642 ) / 348

LCM(58,174,642) = 6479064 / 348

LCM(58,174,642) = 18618


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 25/58, 22/174, 314/642

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 25/58, 22/174, 314/642?

Answer: GCF of Numerators as per given numbers 25/58, 22/174, 314/642 is

GCF of Numerators i.e. for 25,22,314 is 1

LCM of denominators i.e. for 58,174,642 is 18618.

Thus, GCF of Fractions is 1/18618.Finally, GCF of Fractions for 25/58, 22/174, 314/642 is 1/18618.