Greatest Common Factor of 148/950, 120/476, 378/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/950, 120/476, 378/814

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 148/950,120/476,378/814

Given fractions are 148/950,120/476,378/814

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 148,120,378

Greatest Common Factor of Numerators i.e. GCF of 148,120,378 is 2 .

LCM of Denominators means LCM of 950,476,814 as per the given fractions.

LCM of 950,476,814 is 92022700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,120,378

GCF of Fractions 148/950,120/476,378/814 is 2/92022700

2 148, 120, 378
74, 60, 189

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 148,120,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,120,378 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

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

Greatest Common Factor

We found the factors 148,120,378 . The biggest common factor number is the GCF number.
So the greatest common factor 148,120,378 is 2.

Lets's calculate LCM of 950,476,814

2 950, 476, 814
475, 238, 407

∴ So the LCM of the given numbers is 2 x 475 x 238 x 407 = 92022700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92022700

Therefore, the GCF of Fractions 148/950,120/476,378/814 is 2/92022700

Least Common Multiple of 950,476,814 with GCF Formula

Least Common Multiple of 950,476,814 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 950,476,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,476,814) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(950,476,814) x common factors =2 x 2 = 4

LCM(950,476,814) = ( 950 × 476 × 814 ) / 4

LCM(950,476,814) = 368090800 / 4

LCM(950,476,814) = 92022700


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 148/950, 120/476, 378/814

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 148/950, 120/476, 378/814?

Answer: GCF of Numerators as per given numbers 148/950, 120/476, 378/814 is

GCF of Numerators i.e. for 148,120,378 is 2

LCM of denominators i.e. for 950,476,814 is 92022700.

Thus, GCF of Fractions is 2/92022700.Finally, GCF of Fractions for 148/950, 120/476, 378/814 is 2/92022700.