Greatest Common Factor of 2804/64, 2797/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2804/64, 2797/164

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 2804/64,2797/164

Given fractions are 2804/64,2797/164

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 2804,2797

Greatest Common Factor of Numerators i.e. GCF of 2804,2797 is 1 .

LCM of Denominators means LCM of 64,164 as per the given fractions.

LCM of 64,164 is 2624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2804,2797

GCF of Fractions 2804/64,2797/164 is 1/2624

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

Greatest Common Factor of 2804,2797 By Matching Biggest Common Factor Method

Greatest Common Factor of 2804,2797 By Matching Biggest Common Factor Method

Factors of 2804

List of positive integer factors of 2804 that divides 2804 without a remainder.

1,2,4,701,1402,2804

Factors of 2797

List of positive integer factors of 2797 that divides 2797 without a remainder.

1,2797

Greatest Common Factor

We found the factors 2804,2797 . The biggest common factor number is the GCF number.
So the greatest common factor 2804,2797 is 1.

Lets's calculate LCM of 64,164

2 64, 164
2 32, 82
16, 41

∴ So the LCM of the given numbers is 2 x 2 x 16 x 41 = 2624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2624

Therefore, the GCF of Fractions 2804/64,2797/164 is 1/2624

Least Common Multiple of 64,164 with GCF Formula

Least Common Multiple of 64,164 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 64,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,164) = 4

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

GCF(64,164) x common factors =4 x 1 = 4

LCM(64,164) = ( 64 × 164 ) / 4

LCM(64,164) = 10496 / 4

LCM(64,164) = 2624


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 2804/64, 2797/164

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 2804/64, 2797/164?

Answer: GCF of Numerators as per given numbers 2804/64, 2797/164 is

GCF of Numerators i.e. for 2804,2797 is 1

LCM of denominators i.e. for 64,164 is 2624.

Thus, GCF of Fractions is 1/2624.Finally, GCF of Fractions for 2804/64, 2797/164 is 1/2624.