Greatest Common Factor of 771/375, 5784/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/375, 5784/800

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 771/375,5784/800

Given fractions are 771/375,5784/800

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 771,5784

Greatest Common Factor of Numerators i.e. GCF of 771,5784 is 3 .

LCM of Denominators means LCM of 375,800 as per the given fractions.

LCM of 375,800 is 12000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,5784

GCF of Fractions 771/375,5784/800 is 3/12000

3 771, 5784
257, 1928

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 771,5784 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,5784 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784

Greatest Common Factor

We found the factors 771,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 771,5784 is 3.

Lets's calculate LCM of 375,800

5 375, 800
5 75, 160
15, 32

∴ So the LCM of the given numbers is 5 x 5 x 15 x 32 = 12000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12000

Therefore, the GCF of Fractions 771/375,5784/800 is 3/12000

Least Common Multiple of 375,800 with GCF Formula

Least Common Multiple of 375,800 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 375,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,800) = 25

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

GCF(375,800) x common factors =25 x 1 = 25

LCM(375,800) = ( 375 × 800 ) / 25

LCM(375,800) = 300000 / 25

LCM(375,800) = 12000


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 771/375, 5784/800

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 771/375, 5784/800?

Answer: GCF of Numerators as per given numbers 771/375, 5784/800 is

GCF of Numerators i.e. for 771,5784 is 3

LCM of denominators i.e. for 375,800 is 12000.

Thus, GCF of Fractions is 3/12000.Finally, GCF of Fractions for 771/375, 5784/800 is 3/12000.