Greatest Common Factor of 1264/669, 2572/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1264/669, 2572/866

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 1264/669,2572/866

Given fractions are 1264/669,2572/866

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 1264,2572

Greatest Common Factor of Numerators i.e. GCF of 1264,2572 is 4 .

LCM of Denominators means LCM of 669,866 as per the given fractions.

LCM of 669,866 is 579354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1264,2572

GCF of Fractions 1264/669,2572/866 is 4/579354

2 1264, 2572
2 632, 1286
316, 643

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

Greatest Common Factor of 1264,2572 By Matching Biggest Common Factor Method

Greatest Common Factor of 1264,2572 By Matching Biggest Common Factor Method

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Factors of 2572

List of positive integer factors of 2572 that divides 2572 without a remainder.

1,2,4,643,1286,2572

Greatest Common Factor

We found the factors 1264,2572 . The biggest common factor number is the GCF number.
So the greatest common factor 1264,2572 is 4.

Lets's calculate LCM of 669,866

Given numbers has no common factors except 1. So, there LCM is their product i.e 579354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/579354

Therefore, the GCF of Fractions 1264/669,2572/866 is 4/579354

Least Common Multiple of 669,866 with GCF Formula

Least Common Multiple of 669,866 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 669,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,866) = 1

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

GCF(669,866) x common factors =1 x 1 = 1

LCM(669,866) = ( 669 × 866 ) / 1

LCM(669,866) = 579354 / 1

LCM(669,866) = 579354


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 1264/669, 2572/866

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 1264/669, 2572/866?

Answer: GCF of Numerators as per given numbers 1264/669, 2572/866 is

GCF of Numerators i.e. for 1264,2572 is 4

LCM of denominators i.e. for 669,866 is 579354.

Thus, GCF of Fractions is 4/579354.Finally, GCF of Fractions for 1264/669, 2572/866 is 4/579354.