Greatest Common Factor of 3900/376, 4350/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3900/376, 4350/775

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 3900/376,4350/775

Given fractions are 3900/376,4350/775

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 3900,4350

Greatest Common Factor of Numerators i.e. GCF of 3900,4350 is 150 .

LCM of Denominators means LCM of 376,775 as per the given fractions.

LCM of 376,775 is 291400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3900,4350

GCF of Fractions 3900/376,4350/775 is 150/291400

2 3900, 4350
3 1950, 2175
5 650, 725
5 130, 145
26, 29

∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150

Greatest Common Factor of 3900,4350 By Matching Biggest Common Factor Method

Greatest Common Factor of 3900,4350 By Matching Biggest Common Factor Method

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350

Greatest Common Factor

We found the factors 3900,4350 . The biggest common factor number is the GCF number.
So the greatest common factor 3900,4350 is 150.

Lets's calculate LCM of 376,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 291400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/291400

Therefore, the GCF of Fractions 3900/376,4350/775 is 150/291400

Least Common Multiple of 376,775 with GCF Formula

Least Common Multiple of 376,775 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 376,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,775) = 1

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

GCF(376,775) x common factors =1 x 1 = 1

LCM(376,775) = ( 376 × 775 ) / 1

LCM(376,775) = 291400 / 1

LCM(376,775) = 291400


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 3900/376, 4350/775

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 3900/376, 4350/775?

Answer: GCF of Numerators as per given numbers 3900/376, 4350/775 is

GCF of Numerators i.e. for 3900,4350 is 150

LCM of denominators i.e. for 376,775 is 291400.

Thus, GCF of Fractions is 150/291400.Finally, GCF of Fractions for 3900/376, 4350/775 is 150/291400.