Greatest Common Factor of 154/240, 475/475, 465/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/240, 475/475, 465/541

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 154/240,475/475,465/541

Given fractions are 154/240,475/475,465/541

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 154,475,465

Greatest Common Factor of Numerators i.e. GCF of 154,475,465 is 1 .

LCM of Denominators means LCM of 240,475,541 as per the given fractions.

LCM of 240,475,541 is 12334800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,475,465

GCF of Fractions 154/240,475/475,465/541 is 1/12334800

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

Greatest Common Factor of 154,475,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,475,465 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 154,475,465 . The biggest common factor number is the GCF number.
So the greatest common factor 154,475,465 is 1.

Lets's calculate LCM of 240,475,541

5 240, 475, 541
48, 95, 541

∴ So the LCM of the given numbers is 5 x 48 x 95 x 541 = 12334800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12334800

Therefore, the GCF of Fractions 154/240,475/475,465/541 is 1/12334800

Least Common Multiple of 240,475,541 with GCF Formula

Least Common Multiple of 240,475,541 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 240,475,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,475,541) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(240,475,541) x common factors =1 x 5 = 5

LCM(240,475,541) = ( 240 × 475 × 541 ) / 5

LCM(240,475,541) = 61674000 / 5

LCM(240,475,541) = 12334800


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 154/240, 475/475, 465/541

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 154/240, 475/475, 465/541?

Answer: GCF of Numerators as per given numbers 154/240, 475/475, 465/541 is

GCF of Numerators i.e. for 154,475,465 is 1

LCM of denominators i.e. for 240,475,541 is 12334800.

Thus, GCF of Fractions is 1/12334800.Finally, GCF of Fractions for 154/240, 475/475, 465/541 is 1/12334800.