Greatest Common Factor of 42/896, 704/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/896, 704/814

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 42/896,704/814

Given fractions are 42/896,704/814

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 42,704

Greatest Common Factor of Numerators i.e. GCF of 42,704 is 2 .

LCM of Denominators means LCM of 896,814 as per the given fractions.

LCM of 896,814 is 364672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,704

GCF of Fractions 42/896,704/814 is 2/364672

2 42, 704
21, 352

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

Greatest Common Factor of 42,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,704 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 42,704 . The biggest common factor number is the GCF number.
So the greatest common factor 42,704 is 2.

Lets's calculate LCM of 896,814

2 896, 814
448, 407

∴ So the LCM of the given numbers is 2 x 448 x 407 = 364672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/364672

Therefore, the GCF of Fractions 42/896,704/814 is 2/364672

Least Common Multiple of 896,814 with GCF Formula

Least Common Multiple of 896,814 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 896,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,814) = 2

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

GCF(896,814) x common factors =2 x 1 = 2

LCM(896,814) = ( 896 × 814 ) / 2

LCM(896,814) = 729344 / 2

LCM(896,814) = 364672


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 42/896, 704/814

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 42/896, 704/814?

Answer: GCF of Numerators as per given numbers 42/896, 704/814 is

GCF of Numerators i.e. for 42,704 is 2

LCM of denominators i.e. for 896,814 is 364672.

Thus, GCF of Fractions is 2/364672.Finally, GCF of Fractions for 42/896, 704/814 is 2/364672.