Greatest Common Factor of 28/864, 988/380, 429/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/864, 988/380, 429/448

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 28/864,988/380,429/448

Given fractions are 28/864,988/380,429/448

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 28,988,429

Greatest Common Factor of Numerators i.e. GCF of 28,988,429 is 1 .

LCM of Denominators means LCM of 864,380,448 as per the given fractions.

LCM of 864,380,448 is 1149120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,988,429

GCF of Fractions 28/864,988/380,429/448 is 1/1149120

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 28,988,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,988,429 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 28,988,429 . The biggest common factor number is the GCF number.
So the greatest common factor 28,988,429 is 1.

Lets's calculate LCM of 864,380,448

2 864, 380, 448
2 432, 190, 224
2 216, 95, 112
2 108, 95, 56
2 54, 95, 28
27, 95, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 27 x 95 x 14 = 1149120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1149120

Therefore, the GCF of Fractions 28/864,988/380,429/448 is 1/1149120

Least Common Multiple of 864,380,448 with GCF Formula

Least Common Multiple of 864,380,448 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 864,380,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,380,448) = 4

common factors(in case of two or more numbers have common factors) = 32

GCF(864,380,448) x common factors =4 x 32 = 128

LCM(864,380,448) = ( 864 × 380 × 448 ) / 128

LCM(864,380,448) = 147087360 / 128

LCM(864,380,448) = 1149120


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 28/864, 988/380, 429/448

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 28/864, 988/380, 429/448?

Answer: GCF of Numerators as per given numbers 28/864, 988/380, 429/448 is

GCF of Numerators i.e. for 28,988,429 is 1

LCM of denominators i.e. for 864,380,448 is 1149120.

Thus, GCF of Fractions is 1/1149120.Finally, GCF of Fractions for 28/864, 988/380, 429/448 is 1/1149120.