Greatest Common Factor of 774/477, 364/780, 833/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 774/477, 364/780, 833/992

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 774/477,364/780,833/992

Given fractions are 774/477,364/780,833/992

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 774,364,833

Greatest Common Factor of Numerators i.e. GCF of 774,364,833 is 1 .

LCM of Denominators means LCM of 477,780,992 as per the given fractions.

LCM of 477,780,992 is 30756960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 774,364,833

GCF of Fractions 774/477,364/780,833/992 is 1/30756960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 774,364,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,364,833 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 774,364,833 . The biggest common factor number is the GCF number.
So the greatest common factor 774,364,833 is 1.

Lets's calculate LCM of 477,780,992

2 477, 780, 992
2 477, 390, 496
3 477, 195, 248
159, 65, 248

∴ So the LCM of the given numbers is 2 x 2 x 3 x 159 x 65 x 248 = 30756960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30756960

Therefore, the GCF of Fractions 774/477,364/780,833/992 is 1/30756960

Least Common Multiple of 477,780,992 with GCF Formula

Least Common Multiple of 477,780,992 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 477,780,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,780,992) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(477,780,992) x common factors =1 x 12 = 12

LCM(477,780,992) = ( 477 × 780 × 992 ) / 12

LCM(477,780,992) = 369083520 / 12

LCM(477,780,992) = 30756960


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 774/477, 364/780, 833/992

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 774/477, 364/780, 833/992?

Answer: GCF of Numerators as per given numbers 774/477, 364/780, 833/992 is

GCF of Numerators i.e. for 774,364,833 is 1

LCM of denominators i.e. for 477,780,992 is 30756960.

Thus, GCF of Fractions is 1/30756960.Finally, GCF of Fractions for 774/477, 364/780, 833/992 is 1/30756960.