Greatest Common Factor of 304/62, 210/46, 145/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 304/62, 210/46, 145/745

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 304/62,210/46,145/745

Given fractions are 304/62,210/46,145/745

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 304,210,145

Greatest Common Factor of Numerators i.e. GCF of 304,210,145 is 1 .

LCM of Denominators means LCM of 62,46,745 as per the given fractions.

LCM of 62,46,745 is 1062370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 304,210,145

GCF of Fractions 304/62,210/46,145/745 is 1/1062370

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

Greatest Common Factor of 304,210,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,210,145 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 304,210,145 . The biggest common factor number is the GCF number.
So the greatest common factor 304,210,145 is 1.

Lets's calculate LCM of 62,46,745

2 62, 46, 745
31, 23, 745

∴ So the LCM of the given numbers is 2 x 31 x 23 x 745 = 1062370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1062370

Therefore, the GCF of Fractions 304/62,210/46,145/745 is 1/1062370

Least Common Multiple of 62,46,745 with GCF Formula

Least Common Multiple of 62,46,745 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 62,46,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,46,745) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,46,745) x common factors =1 x 2 = 2

LCM(62,46,745) = ( 62 × 46 × 745 ) / 2

LCM(62,46,745) = 2124740 / 2

LCM(62,46,745) = 1062370


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 304/62, 210/46, 145/745

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 304/62, 210/46, 145/745?

Answer: GCF of Numerators as per given numbers 304/62, 210/46, 145/745 is

GCF of Numerators i.e. for 304,210,145 is 1

LCM of denominators i.e. for 62,46,745 is 1062370.

Thus, GCF of Fractions is 1/1062370.Finally, GCF of Fractions for 304/62, 210/46, 145/745 is 1/1062370.