Greatest Common Factor of 1/45, 76/19, 57/210, 625/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/45, 76/19, 57/210, 625/570

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 1/45,76/19,57/210,625/570

Given fractions are 1/45,76/19,57/210,625/570

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 1,76,57,625

Greatest Common Factor of Numerators i.e. GCF of 1,76,57,625 is 1 .

LCM of Denominators means LCM of 45,19,210,570 as per the given fractions.

LCM of 45,19,210,570 is 11970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,76,57,625

GCF of Fractions 1/45,76/19,57/210,625/570 is 1/11970

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

Greatest Common Factor of 1,76,57,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,76,57,625 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 1,76,57,625 . The biggest common factor number is the GCF number.
So the greatest common factor 1,76,57,625 is 1.

Lets's calculate LCM of 45,19,210,570

2 45, 19, 210, 570
3 45, 19, 105, 285
5 15, 19, 35, 95
19 3, 19, 7, 19
3, 1, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 3 x 1 x 7 x 1 = 11970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970

Therefore, the GCF of Fractions 1/45,76/19,57/210,625/570 is 1/11970

Least Common Multiple of 45,19,210,570 with GCF Formula

Least Common Multiple of 45,19,210,570 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 45,19,210,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,19,210,570) = 1

common factors(in case of two or more numbers have common factors) = 8550

GCF(45,19,210,570) x common factors =1 x 8550 = 8550

LCM(45,19,210,570) = ( 45 × 19 × 210 × 570 ) / 8550

LCM(45,19,210,570) = 102343500 / 8550

LCM(45,19,210,570) = 11970


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 1/45, 76/19, 57/210, 625/570

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 1/45, 76/19, 57/210, 625/570?

Answer: GCF of Numerators as per given numbers 1/45, 76/19, 57/210, 625/570 is

GCF of Numerators i.e. for 1,76,57,625 is 1

LCM of denominators i.e. for 45,19,210,570 is 11970.

Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 1/45, 76/19, 57/210, 625/570 is 1/11970.