Greatest Common Factor of 365/50, 552/79, 786/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/50, 552/79, 786/313

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 365/50,552/79,786/313

Given fractions are 365/50,552/79,786/313

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 365,552,786

Greatest Common Factor of Numerators i.e. GCF of 365,552,786 is 1 .

LCM of Denominators means LCM of 50,79,313 as per the given fractions.

LCM of 50,79,313 is 1236350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,552,786

GCF of Fractions 365/50,552/79,786/313 is 1/1236350

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

Greatest Common Factor of 365,552,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,552,786 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 365,552,786 . The biggest common factor number is the GCF number.
So the greatest common factor 365,552,786 is 1.

Lets's calculate LCM of 50,79,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 1236350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1236350

Therefore, the GCF of Fractions 365/50,552/79,786/313 is 1/1236350

Least Common Multiple of 50,79,313 with GCF Formula

Least Common Multiple of 50,79,313 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 50,79,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,79,313) = 1

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

GCF(50,79,313) x common factors =1 x 1 = 1

LCM(50,79,313) = ( 50 × 79 × 313 ) / 1

LCM(50,79,313) = 1236350 / 1

LCM(50,79,313) = 1236350


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 365/50, 552/79, 786/313

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 365/50, 552/79, 786/313?

Answer: GCF of Numerators as per given numbers 365/50, 552/79, 786/313 is

GCF of Numerators i.e. for 365,552,786 is 1

LCM of denominators i.e. for 50,79,313 is 1236350.

Thus, GCF of Fractions is 1/1236350.Finally, GCF of Fractions for 365/50, 552/79, 786/313 is 1/1236350.