Greatest Common Factor of 8954/449, 2475/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8954/449, 2475/271

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 8954/449,2475/271

Given fractions are 8954/449,2475/271

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 8954,2475

Greatest Common Factor of Numerators i.e. GCF of 8954,2475 is 11 .

LCM of Denominators means LCM of 449,271 as per the given fractions.

LCM of 449,271 is 121679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8954,2475

GCF of Fractions 8954/449,2475/271 is 11/121679

11 8954, 2475
814, 225

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

Greatest Common Factor of 8954,2475 By Matching Biggest Common Factor Method

Greatest Common Factor of 8954,2475 By Matching Biggest Common Factor Method

Factors of 8954

List of positive integer factors of 8954 that divides 8954 without a remainder.

1,2,11,22,37,74,121,242,407,814,4477,8954

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Greatest Common Factor

We found the factors 8954,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 8954,2475 is 11.

Lets's calculate LCM of 449,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 121679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/121679

Therefore, the GCF of Fractions 8954/449,2475/271 is 11/121679

Least Common Multiple of 449,271 with GCF Formula

Least Common Multiple of 449,271 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 449,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,271) = 1

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

GCF(449,271) x common factors =1 x 1 = 1

LCM(449,271) = ( 449 × 271 ) / 1

LCM(449,271) = 121679 / 1

LCM(449,271) = 121679


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 8954/449, 2475/271

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 8954/449, 2475/271?

Answer: GCF of Numerators as per given numbers 8954/449, 2475/271 is

GCF of Numerators i.e. for 8954,2475 is 11

LCM of denominators i.e. for 449,271 is 121679.

Thus, GCF of Fractions is 11/121679.Finally, GCF of Fractions for 8954/449, 2475/271 is 11/121679.