Greatest Common Factor of 364/4696, 804/2767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/4696, 804/2767

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 364/4696,804/2767

Given fractions are 364/4696,804/2767

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 364,804

Greatest Common Factor of Numerators i.e. GCF of 364,804 is 4 .

LCM of Denominators means LCM of 4696,2767 as per the given fractions.

LCM of 4696,2767 is 12993832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,804

GCF of Fractions 364/4696,804/2767 is 4/12993832

2 364, 804
2 182, 402
91, 201

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 364,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,804 By Matching Biggest Common Factor Method

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 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 364,804 . The biggest common factor number is the GCF number.
So the greatest common factor 364,804 is 4.

Lets's calculate LCM of 4696,2767

Given numbers has no common factors except 1. So, there LCM is their product i.e 12993832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12993832

Therefore, the GCF of Fractions 364/4696,804/2767 is 4/12993832

Least Common Multiple of 4696,2767 with GCF Formula

Least Common Multiple of 4696,2767 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 4696,2767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4696,2767) = 1

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

GCF(4696,2767) x common factors =1 x 1 = 1

LCM(4696,2767) = ( 4696 × 2767 ) / 1

LCM(4696,2767) = 12993832 / 1

LCM(4696,2767) = 12993832


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 364/4696, 804/2767

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 364/4696, 804/2767?

Answer: GCF of Numerators as per given numbers 364/4696, 804/2767 is

GCF of Numerators i.e. for 364,804 is 4

LCM of denominators i.e. for 4696,2767 is 12993832.

Thus, GCF of Fractions is 4/12993832.Finally, GCF of Fractions for 364/4696, 804/2767 is 4/12993832.