Greatest Common Factor of 46/964, 384/298, 688/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/964, 384/298, 688/381

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 46/964,384/298,688/381

Given fractions are 46/964,384/298,688/381

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 46,384,688

Greatest Common Factor of Numerators i.e. GCF of 46,384,688 is 2 .

LCM of Denominators means LCM of 964,298,381 as per the given fractions.

LCM of 964,298,381 is 54725316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,384,688

GCF of Fractions 46/964,384/298,688/381 is 2/54725316

2 46, 384, 688
23, 192, 344

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

Greatest Common Factor of 46,384,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,384,688 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 46,384,688 . The biggest common factor number is the GCF number.
So the greatest common factor 46,384,688 is 2.

Lets's calculate LCM of 964,298,381

2 964, 298, 381
482, 149, 381

∴ So the LCM of the given numbers is 2 x 482 x 149 x 381 = 54725316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54725316

Therefore, the GCF of Fractions 46/964,384/298,688/381 is 2/54725316

Least Common Multiple of 964,298,381 with GCF Formula

Least Common Multiple of 964,298,381 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 964,298,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,298,381) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(964,298,381) x common factors =1 x 2 = 2

LCM(964,298,381) = ( 964 × 298 × 381 ) / 2

LCM(964,298,381) = 109450632 / 2

LCM(964,298,381) = 54725316


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 46/964, 384/298, 688/381

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 46/964, 384/298, 688/381?

Answer: GCF of Numerators as per given numbers 46/964, 384/298, 688/381 is

GCF of Numerators i.e. for 46,384,688 is 2

LCM of denominators i.e. for 964,298,381 is 54725316.

Thus, GCF of Fractions is 2/54725316.Finally, GCF of Fractions for 46/964, 384/298, 688/381 is 2/54725316.