Greatest Common Factor of 887/784, 438/676, 908/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 887/784, 438/676, 908/672

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 887/784,438/676,908/672

Given fractions are 887/784,438/676,908/672

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 887,438,908

Greatest Common Factor of Numerators i.e. GCF of 887,438,908 is 1 .

LCM of Denominators means LCM of 784,676,672 as per the given fractions.

LCM of 784,676,672 is 794976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 887,438,908

GCF of Fractions 887/784,438/676,908/672 is 1/794976

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

Greatest Common Factor of 887,438,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,438,908 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 887,438,908 . The biggest common factor number is the GCF number.
So the greatest common factor 887,438,908 is 1.

Lets's calculate LCM of 784,676,672

2 784, 676, 672
2 392, 338, 336
2 196, 169, 168
2 98, 169, 84
7 49, 169, 42
7, 169, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 7 x 169 x 6 = 794976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/794976

Therefore, the GCF of Fractions 887/784,438/676,908/672 is 1/794976

Least Common Multiple of 784,676,672 with GCF Formula

Least Common Multiple of 784,676,672 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 784,676,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,676,672) = 4

common factors(in case of two or more numbers have common factors) = 112

GCF(784,676,672) x common factors =4 x 112 = 448

LCM(784,676,672) = ( 784 × 676 × 672 ) / 448

LCM(784,676,672) = 356149248 / 448

LCM(784,676,672) = 794976


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 887/784, 438/676, 908/672

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 887/784, 438/676, 908/672?

Answer: GCF of Numerators as per given numbers 887/784, 438/676, 908/672 is

GCF of Numerators i.e. for 887,438,908 is 1

LCM of denominators i.e. for 784,676,672 is 794976.

Thus, GCF of Fractions is 1/794976.Finally, GCF of Fractions for 887/784, 438/676, 908/672 is 1/794976.