Greatest Common Factor of 676/16, 182/49, 740/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/16, 182/49, 740/546

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 676/16,182/49,740/546

Given fractions are 676/16,182/49,740/546

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 676,182,740

Greatest Common Factor of Numerators i.e. GCF of 676,182,740 is 2 .

LCM of Denominators means LCM of 16,49,546 as per the given fractions.

LCM of 16,49,546 is 30576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,182,740

GCF of Fractions 676/16,182/49,740/546 is 2/30576

2 676, 182, 740
338, 91, 370

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

Greatest Common Factor of 676,182,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,182,740 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 676,182,740 . The biggest common factor number is the GCF number.
So the greatest common factor 676,182,740 is 2.

Lets's calculate LCM of 16,49,546

2 16, 49, 546
7 8, 49, 273
8, 7, 39

∴ So the LCM of the given numbers is 2 x 7 x 8 x 7 x 39 = 30576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30576

Therefore, the GCF of Fractions 676/16,182/49,740/546 is 2/30576

Least Common Multiple of 16,49,546 with GCF Formula

Least Common Multiple of 16,49,546 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 16,49,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,49,546) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(16,49,546) x common factors =1 x 14 = 14

LCM(16,49,546) = ( 16 × 49 × 546 ) / 14

LCM(16,49,546) = 428064 / 14

LCM(16,49,546) = 30576


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 676/16, 182/49, 740/546

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 676/16, 182/49, 740/546?

Answer: GCF of Numerators as per given numbers 676/16, 182/49, 740/546 is

GCF of Numerators i.e. for 676,182,740 is 2

LCM of denominators i.e. for 16,49,546 is 30576.

Thus, GCF of Fractions is 2/30576.Finally, GCF of Fractions for 676/16, 182/49, 740/546 is 2/30576.