Greatest Common Factor of 777/845, 193/463, 308/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/845, 193/463, 308/567

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 777/845,193/463,308/567

Given fractions are 777/845,193/463,308/567

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 777,193,308

Greatest Common Factor of Numerators i.e. GCF of 777,193,308 is 1 .

LCM of Denominators means LCM of 845,463,567 as per the given fractions.

LCM of 845,463,567 is 221830245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,193,308

GCF of Fractions 777/845,193/463,308/567 is 1/221830245

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

Greatest Common Factor of 777,193,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,193,308 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 777,193,308 . The biggest common factor number is the GCF number.
So the greatest common factor 777,193,308 is 1.

Lets's calculate LCM of 845,463,567

Given numbers has no common factors except 1. So, there LCM is their product i.e 221830245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221830245

Therefore, the GCF of Fractions 777/845,193/463,308/567 is 1/221830245

Least Common Multiple of 845,463,567 with GCF Formula

Least Common Multiple of 845,463,567 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 845,463,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,463,567) = 1

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

GCF(845,463,567) x common factors =1 x 1 = 1

LCM(845,463,567) = ( 845 × 463 × 567 ) / 1

LCM(845,463,567) = 221830245 / 1

LCM(845,463,567) = 221830245


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 777/845, 193/463, 308/567

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 777/845, 193/463, 308/567?

Answer: GCF of Numerators as per given numbers 777/845, 193/463, 308/567 is

GCF of Numerators i.e. for 777,193,308 is 1

LCM of denominators i.e. for 845,463,567 is 221830245.

Thus, GCF of Fractions is 1/221830245.Finally, GCF of Fractions for 777/845, 193/463, 308/567 is 1/221830245.