Greatest Common Factor of 1508/392, 4310/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1508/392, 4310/888

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 1508/392,4310/888

Given fractions are 1508/392,4310/888

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 1508,4310

Greatest Common Factor of Numerators i.e. GCF of 1508,4310 is 2 .

LCM of Denominators means LCM of 392,888 as per the given fractions.

LCM of 392,888 is 43512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1508,4310

GCF of Fractions 1508/392,4310/888 is 2/43512

2 1508, 4310
754, 2155

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

Greatest Common Factor of 1508,4310 By Matching Biggest Common Factor Method

Greatest Common Factor of 1508,4310 By Matching Biggest Common Factor Method

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors 1508,4310 . The biggest common factor number is the GCF number.
So the greatest common factor 1508,4310 is 2.

Lets's calculate LCM of 392,888

2 392, 888
2 196, 444
2 98, 222
49, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 111 = 43512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43512

Therefore, the GCF of Fractions 1508/392,4310/888 is 2/43512

Least Common Multiple of 392,888 with GCF Formula

Least Common Multiple of 392,888 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 392,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,888) = 8

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

GCF(392,888) x common factors =8 x 1 = 8

LCM(392,888) = ( 392 × 888 ) / 8

LCM(392,888) = 348096 / 8

LCM(392,888) = 43512


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 1508/392, 4310/888

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 1508/392, 4310/888?

Answer: GCF of Numerators as per given numbers 1508/392, 4310/888 is

GCF of Numerators i.e. for 1508,4310 is 2

LCM of denominators i.e. for 392,888 is 43512.

Thus, GCF of Fractions is 2/43512.Finally, GCF of Fractions for 1508/392, 4310/888 is 2/43512.