Greatest Common Factor of 275/44, 410/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 275/44, 410/268

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 275/44,410/268

Given fractions are 275/44,410/268

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 275,410

Greatest Common Factor of Numerators i.e. GCF of 275,410 is 5 .

LCM of Denominators means LCM of 44,268 as per the given fractions.

LCM of 44,268 is 2948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 275,410

GCF of Fractions 275/44,410/268 is 5/2948

5 275, 410
55, 82

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 275,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,410 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 275,410 . The biggest common factor number is the GCF number.
So the greatest common factor 275,410 is 5.

Lets's calculate LCM of 44,268

2 44, 268
2 22, 134
11, 67

∴ So the LCM of the given numbers is 2 x 2 x 11 x 67 = 2948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2948

Therefore, the GCF of Fractions 275/44,410/268 is 5/2948

Least Common Multiple of 44,268 with GCF Formula

Least Common Multiple of 44,268 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 44,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,268) = 4

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

GCF(44,268) x common factors =4 x 1 = 4

LCM(44,268) = ( 44 × 268 ) / 4

LCM(44,268) = 11792 / 4

LCM(44,268) = 2948


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 275/44, 410/268

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 275/44, 410/268?

Answer: GCF of Numerators as per given numbers 275/44, 410/268 is

GCF of Numerators i.e. for 275,410 is 5

LCM of denominators i.e. for 44,268 is 2948.

Thus, GCF of Fractions is 5/2948.Finally, GCF of Fractions for 275/44, 410/268 is 5/2948.