Greatest Common Factor of 348/39, 502/7376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/39, 502/7376

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 348/39,502/7376

Given fractions are 348/39,502/7376

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 348,502

Greatest Common Factor of Numerators i.e. GCF of 348,502 is 2 .

LCM of Denominators means LCM of 39,7376 as per the given fractions.

LCM of 39,7376 is 287664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,502

GCF of Fractions 348/39,502/7376 is 2/287664

2 348, 502
174, 251

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

Greatest Common Factor of 348,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,502 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 348,502 . The biggest common factor number is the GCF number.
So the greatest common factor 348,502 is 2.

Lets's calculate LCM of 39,7376

Given numbers has no common factors except 1. So, there LCM is their product i.e 287664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/287664

Therefore, the GCF of Fractions 348/39,502/7376 is 2/287664

Least Common Multiple of 39,7376 with GCF Formula

Least Common Multiple of 39,7376 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 39,7376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,7376) = 1

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

GCF(39,7376) x common factors =1 x 1 = 1

LCM(39,7376) = ( 39 × 7376 ) / 1

LCM(39,7376) = 287664 / 1

LCM(39,7376) = 287664


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 348/39, 502/7376

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 348/39, 502/7376?

Answer: GCF of Numerators as per given numbers 348/39, 502/7376 is

GCF of Numerators i.e. for 348,502 is 2

LCM of denominators i.e. for 39,7376 is 287664.

Thus, GCF of Fractions is 2/287664.Finally, GCF of Fractions for 348/39, 502/7376 is 2/287664.