Greatest Common Factor of 1/65, 31/22, 23/280, 378/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/65, 31/22, 23/280, 378/488

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 1/65,31/22,23/280,378/488

Given fractions are 1/65,31/22,23/280,378/488

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 1,31,23,378

Greatest Common Factor of Numerators i.e. GCF of 1,31,23,378 is 1 .

LCM of Denominators means LCM of 65,22,280,488 as per the given fractions.

LCM of 65,22,280,488 is 2442440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,31,23,378

GCF of Fractions 1/65,31/22,23/280,378/488 is 1/2442440

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

Greatest Common Factor of 1,31,23,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,31,23,378 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 1,31,23,378 . The biggest common factor number is the GCF number.
So the greatest common factor 1,31,23,378 is 1.

Lets's calculate LCM of 65,22,280,488

2 65, 22, 280, 488
2 65, 11, 140, 244
2 65, 11, 70, 122
5 65, 11, 35, 61
13, 11, 7, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 11 x 7 x 61 = 2442440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2442440

Therefore, the GCF of Fractions 1/65,31/22,23/280,378/488 is 1/2442440

Least Common Multiple of 65,22,280,488 with GCF Formula

Least Common Multiple of 65,22,280,488 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 65,22,280,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,22,280,488) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(65,22,280,488) x common factors =1 x 80 = 80

LCM(65,22,280,488) = ( 65 × 22 × 280 × 488 ) / 80

LCM(65,22,280,488) = 195395200 / 80

LCM(65,22,280,488) = 2442440


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 1/65, 31/22, 23/280, 378/488

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 1/65, 31/22, 23/280, 378/488?

Answer: GCF of Numerators as per given numbers 1/65, 31/22, 23/280, 378/488 is

GCF of Numerators i.e. for 1,31,23,378 is 1

LCM of denominators i.e. for 65,22,280,488 is 2442440.

Thus, GCF of Fractions is 1/2442440.Finally, GCF of Fractions for 1/65, 31/22, 23/280, 378/488 is 1/2442440.