Greatest Common Factor of 6836/738, 2508/3148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6836/738, 2508/3148

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 6836/738,2508/3148

Given fractions are 6836/738,2508/3148

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 6836,2508

Greatest Common Factor of Numerators i.e. GCF of 6836,2508 is 4 .

LCM of Denominators means LCM of 738,3148 as per the given fractions.

LCM of 738,3148 is 1161612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6836,2508

GCF of Fractions 6836/738,2508/3148 is 4/1161612

2 6836, 2508
2 3418, 1254
1709, 627

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6836,2508 By Matching Biggest Common Factor Method

Greatest Common Factor of 6836,2508 By Matching Biggest Common Factor Method

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Greatest Common Factor

We found the factors 6836,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 6836,2508 is 4.

Lets's calculate LCM of 738,3148

2 738, 3148
369, 1574

∴ So the LCM of the given numbers is 2 x 369 x 1574 = 1161612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1161612

Therefore, the GCF of Fractions 6836/738,2508/3148 is 4/1161612

Least Common Multiple of 738,3148 with GCF Formula

Least Common Multiple of 738,3148 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 738,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,3148) = 2

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

GCF(738,3148) x common factors =2 x 1 = 2

LCM(738,3148) = ( 738 × 3148 ) / 2

LCM(738,3148) = 2323224 / 2

LCM(738,3148) = 1161612


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 6836/738, 2508/3148

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 6836/738, 2508/3148?

Answer: GCF of Numerators as per given numbers 6836/738, 2508/3148 is

GCF of Numerators i.e. for 6836,2508 is 4

LCM of denominators i.e. for 738,3148 is 1161612.

Thus, GCF of Fractions is 4/1161612.Finally, GCF of Fractions for 6836/738, 2508/3148 is 4/1161612.