Greatest Common Factor of 355/780, 5302/1275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/780, 5302/1275

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 355/780,5302/1275

Given fractions are 355/780,5302/1275

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 355,5302

Greatest Common Factor of Numerators i.e. GCF of 355,5302 is 1 .

LCM of Denominators means LCM of 780,1275 as per the given fractions.

LCM of 780,1275 is 66300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,5302

GCF of Fractions 355/780,5302/1275 is 1/66300

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

Greatest Common Factor of 355,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,5302 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 355,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 355,5302 is 1.

Lets's calculate LCM of 780,1275

3 780, 1275
5 260, 425
52, 85

∴ So the LCM of the given numbers is 3 x 5 x 52 x 85 = 66300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66300

Therefore, the GCF of Fractions 355/780,5302/1275 is 1/66300

Least Common Multiple of 780,1275 with GCF Formula

Least Common Multiple of 780,1275 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 780,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,1275) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(780,1275) x common factors =15 x 1 = 15

LCM(780,1275) = ( 780 × 1275 ) / 15

LCM(780,1275) = 994500 / 15

LCM(780,1275) = 66300


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 355/780, 5302/1275

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 355/780, 5302/1275?

Answer: GCF of Numerators as per given numbers 355/780, 5302/1275 is

GCF of Numerators i.e. for 355,5302 is 1

LCM of denominators i.e. for 780,1275 is 66300.

Thus, GCF of Fractions is 1/66300.Finally, GCF of Fractions for 355/780, 5302/1275 is 1/66300.