Greatest Common Factor of 38/779, 526/508, 449/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/779, 526/508, 449/981

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 38/779,526/508,449/981

Given fractions are 38/779,526/508,449/981

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 38,526,449

Greatest Common Factor of Numerators i.e. GCF of 38,526,449 is 1 .

LCM of Denominators means LCM of 779,508,981 as per the given fractions.

LCM of 779,508,981 is 388213092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,526,449

GCF of Fractions 38/779,526/508,449/981 is 1/388213092

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

Greatest Common Factor of 38,526,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,526,449 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 38,526,449 . The biggest common factor number is the GCF number.
So the greatest common factor 38,526,449 is 1.

Lets's calculate LCM of 779,508,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 388213092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388213092

Therefore, the GCF of Fractions 38/779,526/508,449/981 is 1/388213092

Least Common Multiple of 779,508,981 with GCF Formula

Least Common Multiple of 779,508,981 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 779,508,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,508,981) = 1

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

GCF(779,508,981) x common factors =1 x 1 = 1

LCM(779,508,981) = ( 779 × 508 × 981 ) / 1

LCM(779,508,981) = 388213092 / 1

LCM(779,508,981) = 388213092


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 38/779, 526/508, 449/981

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 38/779, 526/508, 449/981?

Answer: GCF of Numerators as per given numbers 38/779, 526/508, 449/981 is

GCF of Numerators i.e. for 38,526,449 is 1

LCM of denominators i.e. for 779,508,981 is 388213092.

Thus, GCF of Fractions is 1/388213092.Finally, GCF of Fractions for 38/779, 526/508, 449/981 is 1/388213092.