Greatest Common Factor of 393/61, 707/53, 314/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/61, 707/53, 314/520

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 393/61,707/53,314/520

Given fractions are 393/61,707/53,314/520

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 393,707,314

Greatest Common Factor of Numerators i.e. GCF of 393,707,314 is 1 .

LCM of Denominators means LCM of 61,53,520 as per the given fractions.

LCM of 61,53,520 is 1681160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,707,314

GCF of Fractions 393/61,707/53,314/520 is 1/1681160

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

Greatest Common Factor of 393,707,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,707,314 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 393,707,314 . The biggest common factor number is the GCF number.
So the greatest common factor 393,707,314 is 1.

Lets's calculate LCM of 61,53,520

Given numbers has no common factors except 1. So, there LCM is their product i.e 1681160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1681160

Therefore, the GCF of Fractions 393/61,707/53,314/520 is 1/1681160

Least Common Multiple of 61,53,520 with GCF Formula

Least Common Multiple of 61,53,520 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 61,53,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,53,520) = 1

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

GCF(61,53,520) x common factors =1 x 1 = 1

LCM(61,53,520) = ( 61 × 53 × 520 ) / 1

LCM(61,53,520) = 1681160 / 1

LCM(61,53,520) = 1681160


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 393/61, 707/53, 314/520

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 393/61, 707/53, 314/520?

Answer: GCF of Numerators as per given numbers 393/61, 707/53, 314/520 is

GCF of Numerators i.e. for 393,707,314 is 1

LCM of denominators i.e. for 61,53,520 is 1681160.

Thus, GCF of Fractions is 1/1681160.Finally, GCF of Fractions for 393/61, 707/53, 314/520 is 1/1681160.