Greatest Common Factor of 314/56, 168/3548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 314/56, 168/3548

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 314/56,168/3548

Given fractions are 314/56,168/3548

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 314,168

Greatest Common Factor of Numerators i.e. GCF of 314,168 is 2 .

LCM of Denominators means LCM of 56,3548 as per the given fractions.

LCM of 56,3548 is 49672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 314,168

GCF of Fractions 314/56,168/3548 is 2/49672

2 314, 168
157, 84

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

Greatest Common Factor of 314,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,168 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 314,168 . The biggest common factor number is the GCF number.
So the greatest common factor 314,168 is 2.

Lets's calculate LCM of 56,3548

2 56, 3548
2 28, 1774
14, 887

∴ So the LCM of the given numbers is 2 x 2 x 14 x 887 = 49672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49672

Therefore, the GCF of Fractions 314/56,168/3548 is 2/49672

Least Common Multiple of 56,3548 with GCF Formula

Least Common Multiple of 56,3548 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 56,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,3548) = 4

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

GCF(56,3548) x common factors =4 x 1 = 4

LCM(56,3548) = ( 56 × 3548 ) / 4

LCM(56,3548) = 198688 / 4

LCM(56,3548) = 49672


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 314/56, 168/3548

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 314/56, 168/3548?

Answer: GCF of Numerators as per given numbers 314/56, 168/3548 is

GCF of Numerators i.e. for 314,168 is 2

LCM of denominators i.e. for 56,3548 is 49672.

Thus, GCF of Fractions is 2/49672.Finally, GCF of Fractions for 314/56, 168/3548 is 2/49672.