Greatest Common Factor of 14/116, 357/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/116, 357/450

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 14/116,357/450

Given fractions are 14/116,357/450

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 14,357

Greatest Common Factor of Numerators i.e. GCF of 14,357 is 7 .

LCM of Denominators means LCM of 116,450 as per the given fractions.

LCM of 116,450 is 26100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,357

GCF of Fractions 14/116,357/450 is 7/26100

7 14, 357
2, 51

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

Greatest Common Factor of 14,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,357 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 14,357 . The biggest common factor number is the GCF number.
So the greatest common factor 14,357 is 7.

Lets's calculate LCM of 116,450

2 116, 450
58, 225

∴ So the LCM of the given numbers is 2 x 58 x 225 = 26100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/26100

Therefore, the GCF of Fractions 14/116,357/450 is 7/26100

Least Common Multiple of 116,450 with GCF Formula

Least Common Multiple of 116,450 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 116,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,450) = 2

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

GCF(116,450) x common factors =2 x 1 = 2

LCM(116,450) = ( 116 × 450 ) / 2

LCM(116,450) = 52200 / 2

LCM(116,450) = 26100


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 14/116, 357/450

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 14/116, 357/450?

Answer: GCF of Numerators as per given numbers 14/116, 357/450 is

GCF of Numerators i.e. for 14,357 is 7

LCM of denominators i.e. for 116,450 is 26100.

Thus, GCF of Fractions is 7/26100.Finally, GCF of Fractions for 14/116, 357/450 is 7/26100.