Greatest Common Factor of 452/699, 310/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/699, 310/312

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 452/699,310/312

Given fractions are 452/699,310/312

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 452,310

Greatest Common Factor of Numerators i.e. GCF of 452,310 is 2 .

LCM of Denominators means LCM of 699,312 as per the given fractions.

LCM of 699,312 is 72696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,310

GCF of Fractions 452/699,310/312 is 2/72696

2 452, 310
226, 155

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

Greatest Common Factor of 452,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,310 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 452,310 . The biggest common factor number is the GCF number.
So the greatest common factor 452,310 is 2.

Lets's calculate LCM of 699,312

3 699, 312
233, 104

∴ So the LCM of the given numbers is 3 x 233 x 104 = 72696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72696

Therefore, the GCF of Fractions 452/699,310/312 is 2/72696

Least Common Multiple of 699,312 with GCF Formula

Least Common Multiple of 699,312 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 699,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,312) = 3

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

GCF(699,312) x common factors =3 x 1 = 3

LCM(699,312) = ( 699 × 312 ) / 3

LCM(699,312) = 218088 / 3

LCM(699,312) = 72696


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 452/699, 310/312

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 452/699, 310/312?

Answer: GCF of Numerators as per given numbers 452/699, 310/312 is

GCF of Numerators i.e. for 452,310 is 2

LCM of denominators i.e. for 699,312 is 72696.

Thus, GCF of Fractions is 2/72696.Finally, GCF of Fractions for 452/699, 310/312 is 2/72696.