Greatest Common Factor of 741/28, 546/6688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 741/28, 546/6688

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 741/28,546/6688

Given fractions are 741/28,546/6688

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 741,546

Greatest Common Factor of Numerators i.e. GCF of 741,546 is 39 .

LCM of Denominators means LCM of 28,6688 as per the given fractions.

LCM of 28,6688 is 46816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 741,546

GCF of Fractions 741/28,546/6688 is 39/46816

3 741, 546
13 247, 182
19, 14

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 741,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,546 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 741,546 . The biggest common factor number is the GCF number.
So the greatest common factor 741,546 is 39.

Lets's calculate LCM of 28,6688

2 28, 6688
2 14, 3344
7, 1672

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1672 = 46816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/46816

Therefore, the GCF of Fractions 741/28,546/6688 is 39/46816

Least Common Multiple of 28,6688 with GCF Formula

Least Common Multiple of 28,6688 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 28,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6688) = 4

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

GCF(28,6688) x common factors =4 x 1 = 4

LCM(28,6688) = ( 28 × 6688 ) / 4

LCM(28,6688) = 187264 / 4

LCM(28,6688) = 46816


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 741/28, 546/6688

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 741/28, 546/6688?

Answer: GCF of Numerators as per given numbers 741/28, 546/6688 is

GCF of Numerators i.e. for 741,546 is 39

LCM of denominators i.e. for 28,6688 is 46816.

Thus, GCF of Fractions is 39/46816.Finally, GCF of Fractions for 741/28, 546/6688 is 39/46816.