Greatest Common Factor of 896/96, 622/85, 574/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/96, 622/85, 574/84

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 896/96,622/85,574/84

Given fractions are 896/96,622/85,574/84

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 896,622,574

Greatest Common Factor of Numerators i.e. GCF of 896,622,574 is 2 .

LCM of Denominators means LCM of 96,85,84 as per the given fractions.

LCM of 96,85,84 is 57120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,622,574

GCF of Fractions 896/96,622/85,574/84 is 2/57120

2 896, 622, 574
448, 311, 287

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

Greatest Common Factor of 896,622,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,622,574 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 896,622,574 . The biggest common factor number is the GCF number.
So the greatest common factor 896,622,574 is 2.

Lets's calculate LCM of 96,85,84

2 96, 85, 84
2 48, 85, 42
3 24, 85, 21
8, 85, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 85 x 7 = 57120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57120

Therefore, the GCF of Fractions 896/96,622/85,574/84 is 2/57120

Least Common Multiple of 96,85,84 with GCF Formula

Least Common Multiple of 96,85,84 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 96,85,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,85,84) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(96,85,84) x common factors =1 x 12 = 12

LCM(96,85,84) = ( 96 × 85 × 84 ) / 12

LCM(96,85,84) = 685440 / 12

LCM(96,85,84) = 57120


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 896/96, 622/85, 574/84

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 896/96, 622/85, 574/84?

Answer: GCF of Numerators as per given numbers 896/96, 622/85, 574/84 is

GCF of Numerators i.e. for 896,622,574 is 2

LCM of denominators i.e. for 96,85,84 is 57120.

Thus, GCF of Fractions is 2/57120.Finally, GCF of Fractions for 896/96, 622/85, 574/84 is 2/57120.