Greatest Common Factor of 819/248, 949/471, 128/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/248, 949/471, 128/977

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 819/248,949/471,128/977

Given fractions are 819/248,949/471,128/977

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 819,949,128

Greatest Common Factor of Numerators i.e. GCF of 819,949,128 is 1 .

LCM of Denominators means LCM of 248,471,977 as per the given fractions.

LCM of 248,471,977 is 114121416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,949,128

GCF of Fractions 819/248,949/471,128/977 is 1/114121416

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

Greatest Common Factor of 819,949,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,949,128 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 819,949,128 . The biggest common factor number is the GCF number.
So the greatest common factor 819,949,128 is 1.

Lets's calculate LCM of 248,471,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 114121416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114121416

Therefore, the GCF of Fractions 819/248,949/471,128/977 is 1/114121416

Least Common Multiple of 248,471,977 with GCF Formula

Least Common Multiple of 248,471,977 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 248,471,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,471,977) = 1

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

GCF(248,471,977) x common factors =1 x 1 = 1

LCM(248,471,977) = ( 248 × 471 × 977 ) / 1

LCM(248,471,977) = 114121416 / 1

LCM(248,471,977) = 114121416


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 819/248, 949/471, 128/977

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 819/248, 949/471, 128/977?

Answer: GCF of Numerators as per given numbers 819/248, 949/471, 128/977 is

GCF of Numerators i.e. for 819,949,128 is 1

LCM of denominators i.e. for 248,471,977 is 114121416.

Thus, GCF of Fractions is 1/114121416.Finally, GCF of Fractions for 819/248, 949/471, 128/977 is 1/114121416.