Greatest Common Factor of 1295/711, 3330/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1295/711, 3330/544

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 1295/711,3330/544

Given fractions are 1295/711,3330/544

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 1295,3330

Greatest Common Factor of Numerators i.e. GCF of 1295,3330 is 185 .

LCM of Denominators means LCM of 711,544 as per the given fractions.

LCM of 711,544 is 386784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1295,3330

GCF of Fractions 1295/711,3330/544 is 185/386784

5 1295, 3330
37 259, 666
7, 18

∴ So the GCF of the given numbers is 5 x 37 = 185

Greatest Common Factor of 1295,3330 By Matching Biggest Common Factor Method

Greatest Common Factor of 1295,3330 By Matching Biggest Common Factor Method

Factors of 1295

List of positive integer factors of 1295 that divides 1295 without a remainder.

1,5,7,35,37,185,259,1295

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330

Greatest Common Factor

We found the factors 1295,3330 . The biggest common factor number is the GCF number.
So the greatest common factor 1295,3330 is 185.

Lets's calculate LCM of 711,544

Given numbers has no common factors except 1. So, there LCM is their product i.e 386784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 185/386784

Therefore, the GCF of Fractions 1295/711,3330/544 is 185/386784

Least Common Multiple of 711,544 with GCF Formula

Least Common Multiple of 711,544 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 711,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,544) = 1

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

GCF(711,544) x common factors =1 x 1 = 1

LCM(711,544) = ( 711 × 544 ) / 1

LCM(711,544) = 386784 / 1

LCM(711,544) = 386784


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 1295/711, 3330/544

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 1295/711, 3330/544?

Answer: GCF of Numerators as per given numbers 1295/711, 3330/544 is

GCF of Numerators i.e. for 1295,3330 is 185

LCM of denominators i.e. for 711,544 is 386784.

Thus, GCF of Fractions is 185/386784.Finally, GCF of Fractions for 1295/711, 3330/544 is 185/386784.