Greatest Common Factor of 825/79, 341/55, 308/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 825/79, 341/55, 308/731

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 825/79,341/55,308/731

Given fractions are 825/79,341/55,308/731

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 825,341,308

Greatest Common Factor of Numerators i.e. GCF of 825,341,308 is 11 .

LCM of Denominators means LCM of 79,55,731 as per the given fractions.

LCM of 79,55,731 is 3176195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 825,341,308

GCF of Fractions 825/79,341/55,308/731 is 11/3176195

11 825, 341, 308
75, 31, 28

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 825,341,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,341,308 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

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 825,341,308 . The biggest common factor number is the GCF number.
So the greatest common factor 825,341,308 is 11.

Lets's calculate LCM of 79,55,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 3176195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3176195

Therefore, the GCF of Fractions 825/79,341/55,308/731 is 11/3176195

Least Common Multiple of 79,55,731 with GCF Formula

Least Common Multiple of 79,55,731 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 79,55,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,55,731) = 1

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

GCF(79,55,731) x common factors =1 x 1 = 1

LCM(79,55,731) = ( 79 × 55 × 731 ) / 1

LCM(79,55,731) = 3176195 / 1

LCM(79,55,731) = 3176195


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 825/79, 341/55, 308/731

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 825/79, 341/55, 308/731?

Answer: GCF of Numerators as per given numbers 825/79, 341/55, 308/731 is

GCF of Numerators i.e. for 825,341,308 is 11

LCM of denominators i.e. for 79,55,731 is 3176195.

Thus, GCF of Fractions is 11/3176195.Finally, GCF of Fractions for 825/79, 341/55, 308/731 is 11/3176195.