Greatest Common Factor of 16/546, 282/748, 178/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/546, 282/748, 178/512

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 16/546,282/748,178/512

Given fractions are 16/546,282/748,178/512

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 16,282,178

Greatest Common Factor of Numerators i.e. GCF of 16,282,178 is 2 .

LCM of Denominators means LCM of 546,748,512 as per the given fractions.

LCM of 546,748,512 is 26138112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,282,178

GCF of Fractions 16/546,282/748,178/512 is 2/26138112

2 16, 282, 178
8, 141, 89

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

Greatest Common Factor of 16,282,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,282,178 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 16,282,178 . The biggest common factor number is the GCF number.
So the greatest common factor 16,282,178 is 2.

Lets's calculate LCM of 546,748,512

2 546, 748, 512
2 273, 374, 256
273, 187, 128

∴ So the LCM of the given numbers is 2 x 2 x 273 x 187 x 128 = 26138112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26138112

Therefore, the GCF of Fractions 16/546,282/748,178/512 is 2/26138112

Least Common Multiple of 546,748,512 with GCF Formula

Least Common Multiple of 546,748,512 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 546,748,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,748,512) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(546,748,512) x common factors =2 x 4 = 8

LCM(546,748,512) = ( 546 × 748 × 512 ) / 8

LCM(546,748,512) = 209104896 / 8

LCM(546,748,512) = 26138112


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 16/546, 282/748, 178/512

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 16/546, 282/748, 178/512?

Answer: GCF of Numerators as per given numbers 16/546, 282/748, 178/512 is

GCF of Numerators i.e. for 16,282,178 is 2

LCM of denominators i.e. for 546,748,512 is 26138112.

Thus, GCF of Fractions is 2/26138112.Finally, GCF of Fractions for 16/546, 282/748, 178/512 is 2/26138112.