Greatest Common Factor of 896/23, 504/29, 426/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/23, 504/29, 426/49

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 896/23,504/29,426/49

Given fractions are 896/23,504/29,426/49

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 896,504,426

Greatest Common Factor of Numerators i.e. GCF of 896,504,426 is 2 .

LCM of Denominators means LCM of 23,29,49 as per the given fractions.

LCM of 23,29,49 is 32683 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,504,426

GCF of Fractions 896/23,504/29,426/49 is 2/32683

2 896, 504, 426
448, 252, 213

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

Greatest Common Factor of 896,504,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,504,426 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 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 896,504,426 . The biggest common factor number is the GCF number.
So the greatest common factor 896,504,426 is 2.

Lets's calculate LCM of 23,29,49

Given numbers has no common factors except 1. So, there LCM is their product i.e 32683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32683

Therefore, the GCF of Fractions 896/23,504/29,426/49 is 2/32683

Least Common Multiple of 23,29,49 with GCF Formula

Least Common Multiple of 23,29,49 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 23,29,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,29,49) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,29,49) x common factors =1 x 1 = 1

LCM(23,29,49) = ( 23 × 29 × 49 ) / 1

LCM(23,29,49) = 32683 / 1

LCM(23,29,49) = 32683


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 896/23, 504/29, 426/49

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 896/23, 504/29, 426/49?

Answer: GCF of Numerators as per given numbers 896/23, 504/29, 426/49 is

GCF of Numerators i.e. for 896,504,426 is 2

LCM of denominators i.e. for 23,29,49 is 32683.

Thus, GCF of Fractions is 2/32683.Finally, GCF of Fractions for 896/23, 504/29, 426/49 is 2/32683.