Greatest Common Factor of 750/304, 3708/1092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/304, 3708/1092

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 750/304,3708/1092

Given fractions are 750/304,3708/1092

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 750,3708

Greatest Common Factor of Numerators i.e. GCF of 750,3708 is 6 .

LCM of Denominators means LCM of 304,1092 as per the given fractions.

LCM of 304,1092 is 82992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,3708

GCF of Fractions 750/304,3708/1092 is 6/82992

2 750, 3708
3 375, 1854
125, 618

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 750,3708 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,3708 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Greatest Common Factor

We found the factors 750,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 750,3708 is 6.

Lets's calculate LCM of 304,1092

2 304, 1092
2 152, 546
76, 273

∴ So the LCM of the given numbers is 2 x 2 x 76 x 273 = 82992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/82992

Therefore, the GCF of Fractions 750/304,3708/1092 is 6/82992

Least Common Multiple of 304,1092 with GCF Formula

Least Common Multiple of 304,1092 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 304,1092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,1092) = 4

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

GCF(304,1092) x common factors =4 x 1 = 4

LCM(304,1092) = ( 304 × 1092 ) / 4

LCM(304,1092) = 331968 / 4

LCM(304,1092) = 82992


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 750/304, 3708/1092

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 750/304, 3708/1092?

Answer: GCF of Numerators as per given numbers 750/304, 3708/1092 is

GCF of Numerators i.e. for 750,3708 is 6

LCM of denominators i.e. for 304,1092 is 82992.

Thus, GCF of Fractions is 6/82992.Finally, GCF of Fractions for 750/304, 3708/1092 is 6/82992.