Greatest Common Factor of 3/70, 75/72, 42/209, 361/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/70, 75/72, 42/209, 361/428

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 3/70,75/72,42/209,361/428

Given fractions are 3/70,75/72,42/209,361/428

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 3,75,42,361

Greatest Common Factor of Numerators i.e. GCF of 3,75,42,361 is 1 .

LCM of Denominators means LCM of 70,72,209,428 as per the given fractions.

LCM of 70,72,209,428 is 56354760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,75,42,361

GCF of Fractions 3/70,75/72,42/209,361/428 is 1/56354760

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,75,42,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,75,42,361 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 3,75,42,361 . The biggest common factor number is the GCF number.
So the greatest common factor 3,75,42,361 is 1.

Lets's calculate LCM of 70,72,209,428

2 70, 72, 209, 428
2 35, 36, 209, 214
35, 18, 209, 107

∴ So the LCM of the given numbers is 2 x 2 x 35 x 18 x 209 x 107 = 56354760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56354760

Therefore, the GCF of Fractions 3/70,75/72,42/209,361/428 is 1/56354760

Least Common Multiple of 70,72,209,428 with GCF Formula

Least Common Multiple of 70,72,209,428 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 70,72,209,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,72,209,428) = 1

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

GCF(70,72,209,428) x common factors =1 x 8 = 8

LCM(70,72,209,428) = ( 70 × 72 × 209 × 428 ) / 8

LCM(70,72,209,428) = 450838080 / 8

LCM(70,72,209,428) = 56354760


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 3/70, 75/72, 42/209, 361/428

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 3/70, 75/72, 42/209, 361/428?

Answer: GCF of Numerators as per given numbers 3/70, 75/72, 42/209, 361/428 is

GCF of Numerators i.e. for 3,75,42,361 is 1

LCM of denominators i.e. for 70,72,209,428 is 56354760.

Thus, GCF of Fractions is 1/56354760.Finally, GCF of Fractions for 3/70, 75/72, 42/209, 361/428 is 1/56354760.