Greatest Common Factor of 3/30, 573/77, 942/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/30, 573/77, 942/77

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 3/30,573/77,942/77

Given fractions are 3/30,573/77,942/77

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 3,573,942

Greatest Common Factor of Numerators i.e. GCF of 3,573,942 is 3 .

LCM of Denominators means LCM of 30,77,77 as per the given fractions.

LCM of 30,77,77 is 2310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,573,942

GCF of Fractions 3/30,573/77,942/77 is 3/2310

3 3, 573, 942
1, 191, 314

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3,573,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,573,942 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 3,573,942 . The biggest common factor number is the GCF number.
So the greatest common factor 3,573,942 is 3.

Lets's calculate LCM of 30,77,77

7 30, 77, 77
11 30, 11, 11
30, 1, 1

∴ So the LCM of the given numbers is 7 x 11 x 30 x 1 x 1 = 2310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2310

Therefore, the GCF of Fractions 3/30,573/77,942/77 is 3/2310

Least Common Multiple of 30,77,77 with GCF Formula

Least Common Multiple of 30,77,77 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 30,77,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,77,77) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(30,77,77) x common factors =1 x 77 = 77

LCM(30,77,77) = ( 30 × 77 × 77 ) / 77

LCM(30,77,77) = 177870 / 77

LCM(30,77,77) = 2310


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 3/30, 573/77, 942/77

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 3/30, 573/77, 942/77?

Answer: GCF of Numerators as per given numbers 3/30, 573/77, 942/77 is

GCF of Numerators i.e. for 3,573,942 is 3

LCM of denominators i.e. for 30,77,77 is 2310.

Thus, GCF of Fractions is 3/2310.Finally, GCF of Fractions for 3/30, 573/77, 942/77 is 3/2310.