Greatest Common Factor of 378/14, 525/1134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/14, 525/1134

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 378/14,525/1134

Given fractions are 378/14,525/1134

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 378,525

Greatest Common Factor of Numerators i.e. GCF of 378,525 is 21 .

LCM of Denominators means LCM of 14,1134 as per the given fractions.

LCM of 14,1134 is 1134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,525

GCF of Fractions 378/14,525/1134 is 21/1134

3 378, 525
7 126, 175
18, 25

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 378,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,525 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 378,525 . The biggest common factor number is the GCF number.
So the greatest common factor 378,525 is 21.

Lets's calculate LCM of 14,1134

2 14, 1134
7 7, 567
1, 81

∴ So the LCM of the given numbers is 2 x 7 x 1 x 81 = 1134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1134

Therefore, the GCF of Fractions 378/14,525/1134 is 21/1134

Least Common Multiple of 14,1134 with GCF Formula

Least Common Multiple of 14,1134 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 14,1134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1134) = 14

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

GCF(14,1134) x common factors =14 x 1 = 14

LCM(14,1134) = ( 14 × 1134 ) / 14

LCM(14,1134) = 15876 / 14

LCM(14,1134) = 1134


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 378/14, 525/1134

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 378/14, 525/1134?

Answer: GCF of Numerators as per given numbers 378/14, 525/1134 is

GCF of Numerators i.e. for 378,525 is 21

LCM of denominators i.e. for 14,1134 is 1134.

Thus, GCF of Fractions is 21/1134.Finally, GCF of Fractions for 378/14, 525/1134 is 21/1134.