Greatest Common Factor of 56/48, 22/40, 414/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/48, 22/40, 414/334

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 56/48,22/40,414/334

Given fractions are 56/48,22/40,414/334

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 56,22,414

Greatest Common Factor of Numerators i.e. GCF of 56,22,414 is 2 .

LCM of Denominators means LCM of 48,40,334 as per the given fractions.

LCM of 48,40,334 is 40080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,22,414

GCF of Fractions 56/48,22/40,414/334 is 2/40080

2 56, 22, 414
28, 11, 207

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

Greatest Common Factor of 56,22,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,22,414 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 56,22,414 . The biggest common factor number is the GCF number.
So the greatest common factor 56,22,414 is 2.

Lets's calculate LCM of 48,40,334

2 48, 40, 334
2 24, 20, 167
2 12, 10, 167
6, 5, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 5 x 167 = 40080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40080

Therefore, the GCF of Fractions 56/48,22/40,414/334 is 2/40080

Least Common Multiple of 48,40,334 with GCF Formula

Least Common Multiple of 48,40,334 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 48,40,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,40,334) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(48,40,334) x common factors =2 x 8 = 16

LCM(48,40,334) = ( 48 × 40 × 334 ) / 16

LCM(48,40,334) = 641280 / 16

LCM(48,40,334) = 40080


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 56/48, 22/40, 414/334

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 56/48, 22/40, 414/334?

Answer: GCF of Numerators as per given numbers 56/48, 22/40, 414/334 is

GCF of Numerators i.e. for 56,22,414 is 2

LCM of denominators i.e. for 48,40,334 is 40080.

Thus, GCF of Fractions is 2/40080.Finally, GCF of Fractions for 56/48, 22/40, 414/334 is 2/40080.