Greatest Common Factor of 40/414, 12/529, 176/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/414, 12/529, 176/648

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 40/414,12/529,176/648

Given fractions are 40/414,12/529,176/648

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 40,12,176

Greatest Common Factor of Numerators i.e. GCF of 40,12,176 is 4 .

LCM of Denominators means LCM of 414,529,648 as per the given fractions.

LCM of 414,529,648 is 342792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,12,176

GCF of Fractions 40/414,12/529,176/648 is 4/342792

2 40, 12, 176
2 20, 6, 88
10, 3, 44

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 40,12,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,12,176 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 40,12,176 . The biggest common factor number is the GCF number.
So the greatest common factor 40,12,176 is 4.

Lets's calculate LCM of 414,529,648

2 414, 529, 648
3 207, 529, 324
3 69, 529, 108
23 23, 529, 36
1, 23, 36

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 1 x 23 x 36 = 342792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/342792

Therefore, the GCF of Fractions 40/414,12/529,176/648 is 4/342792

Least Common Multiple of 414,529,648 with GCF Formula

Least Common Multiple of 414,529,648 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 414,529,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,529,648) = 1

common factors(in case of two or more numbers have common factors) = 414

GCF(414,529,648) x common factors =1 x 414 = 414

LCM(414,529,648) = ( 414 × 529 × 648 ) / 414

LCM(414,529,648) = 141915888 / 414

LCM(414,529,648) = 342792


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 40/414, 12/529, 176/648

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 40/414, 12/529, 176/648?

Answer: GCF of Numerators as per given numbers 40/414, 12/529, 176/648 is

GCF of Numerators i.e. for 40,12,176 is 4

LCM of denominators i.e. for 414,529,648 is 342792.

Thus, GCF of Fractions is 4/342792.Finally, GCF of Fractions for 40/414, 12/529, 176/648 is 4/342792.