Greatest Common Factor of 439/407, 766/197, 280/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 439/407, 766/197, 280/815

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 439/407,766/197,280/815

Given fractions are 439/407,766/197,280/815

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 439,766,280

Greatest Common Factor of Numerators i.e. GCF of 439,766,280 is 1 .

LCM of Denominators means LCM of 407,197,815 as per the given fractions.

LCM of 407,197,815 is 65345885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 439,766,280

GCF of Fractions 439/407,766/197,280/815 is 1/65345885

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

Greatest Common Factor of 439,766,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,766,280 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 439,766,280 . The biggest common factor number is the GCF number.
So the greatest common factor 439,766,280 is 1.

Lets's calculate LCM of 407,197,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 65345885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65345885

Therefore, the GCF of Fractions 439/407,766/197,280/815 is 1/65345885

Least Common Multiple of 407,197,815 with GCF Formula

Least Common Multiple of 407,197,815 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 407,197,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,197,815) = 1

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

GCF(407,197,815) x common factors =1 x 1 = 1

LCM(407,197,815) = ( 407 × 197 × 815 ) / 1

LCM(407,197,815) = 65345885 / 1

LCM(407,197,815) = 65345885


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 439/407, 766/197, 280/815

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 439/407, 766/197, 280/815?

Answer: GCF of Numerators as per given numbers 439/407, 766/197, 280/815 is

GCF of Numerators i.e. for 439,766,280 is 1

LCM of denominators i.e. for 407,197,815 is 65345885.

Thus, GCF of Fractions is 1/65345885.Finally, GCF of Fractions for 439/407, 766/197, 280/815 is 1/65345885.