Greatest Common Factor of 40/194, 545/876, 530/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/194, 545/876, 530/312

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 40/194,545/876,530/312

Given fractions are 40/194,545/876,530/312

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 40,545,530

Greatest Common Factor of Numerators i.e. GCF of 40,545,530 is 5 .

LCM of Denominators means LCM of 194,876,312 as per the given fractions.

LCM of 194,876,312 is 2209272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,545,530

GCF of Fractions 40/194,545/876,530/312 is 5/2209272

5 40, 545, 530
8, 109, 106

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 40,545,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,545,530 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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 40,545,530 . The biggest common factor number is the GCF number.
So the greatest common factor 40,545,530 is 5.

Lets's calculate LCM of 194,876,312

2 194, 876, 312
2 97, 438, 156
3 97, 219, 78
97, 73, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 97 x 73 x 26 = 2209272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2209272

Therefore, the GCF of Fractions 40/194,545/876,530/312 is 5/2209272

Least Common Multiple of 194,876,312 with GCF Formula

Least Common Multiple of 194,876,312 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 194,876,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,876,312) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(194,876,312) x common factors =2 x 12 = 24

LCM(194,876,312) = ( 194 × 876 × 312 ) / 24

LCM(194,876,312) = 53022528 / 24

LCM(194,876,312) = 2209272


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 40/194, 545/876, 530/312

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 40/194, 545/876, 530/312?

Answer: GCF of Numerators as per given numbers 40/194, 545/876, 530/312 is

GCF of Numerators i.e. for 40,545,530 is 5

LCM of denominators i.e. for 194,876,312 is 2209272.

Thus, GCF of Fractions is 5/2209272.Finally, GCF of Fractions for 40/194, 545/876, 530/312 is 5/2209272.