Greatest Common Factor of 348/36, 746/5750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/36, 746/5750

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 348/36,746/5750

Given fractions are 348/36,746/5750

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 348,746

Greatest Common Factor of Numerators i.e. GCF of 348,746 is 2 .

LCM of Denominators means LCM of 36,5750 as per the given fractions.

LCM of 36,5750 is 103500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,746

GCF of Fractions 348/36,746/5750 is 2/103500

2 348, 746
174, 373

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

Greatest Common Factor of 348,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,746 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 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 348,746 . The biggest common factor number is the GCF number.
So the greatest common factor 348,746 is 2.

Lets's calculate LCM of 36,5750

2 36, 5750
18, 2875

∴ So the LCM of the given numbers is 2 x 18 x 2875 = 103500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103500

Therefore, the GCF of Fractions 348/36,746/5750 is 2/103500

Least Common Multiple of 36,5750 with GCF Formula

Least Common Multiple of 36,5750 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 36,5750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,5750) = 2

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

GCF(36,5750) x common factors =2 x 1 = 2

LCM(36,5750) = ( 36 × 5750 ) / 2

LCM(36,5750) = 207000 / 2

LCM(36,5750) = 103500


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 348/36, 746/5750

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 348/36, 746/5750?

Answer: GCF of Numerators as per given numbers 348/36, 746/5750 is

GCF of Numerators i.e. for 348,746 is 2

LCM of denominators i.e. for 36,5750 is 103500.

Thus, GCF of Fractions is 2/103500.Finally, GCF of Fractions for 348/36, 746/5750 is 2/103500.