Greatest Common Factor of 48/42, 410/49, 674/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/42, 410/49, 674/64

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 48/42,410/49,674/64

Given fractions are 48/42,410/49,674/64

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 48,410,674

Greatest Common Factor of Numerators i.e. GCF of 48,410,674 is 2 .

LCM of Denominators means LCM of 42,49,64 as per the given fractions.

LCM of 42,49,64 is 9408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,410,674

GCF of Fractions 48/42,410/49,674/64 is 2/9408

2 48, 410, 674
24, 205, 337

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

Greatest Common Factor of 48,410,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,410,674 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 48,410,674 . The biggest common factor number is the GCF number.
So the greatest common factor 48,410,674 is 2.

Lets's calculate LCM of 42,49,64

2 42, 49, 64
7 21, 49, 32
3, 7, 32

∴ So the LCM of the given numbers is 2 x 7 x 3 x 7 x 32 = 9408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9408

Therefore, the GCF of Fractions 48/42,410/49,674/64 is 2/9408

Least Common Multiple of 42,49,64 with GCF Formula

Least Common Multiple of 42,49,64 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 42,49,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,49,64) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,49,64) x common factors =1 x 14 = 14

LCM(42,49,64) = ( 42 × 49 × 64 ) / 14

LCM(42,49,64) = 131712 / 14

LCM(42,49,64) = 9408


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 48/42, 410/49, 674/64

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 48/42, 410/49, 674/64?

Answer: GCF of Numerators as per given numbers 48/42, 410/49, 674/64 is

GCF of Numerators i.e. for 48,410,674 is 2

LCM of denominators i.e. for 42,49,64 is 9408.

Thus, GCF of Fractions is 2/9408.Finally, GCF of Fractions for 48/42, 410/49, 674/64 is 2/9408.