Greatest Common Factor of 487/41, 741/60, 957/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/41, 741/60, 957/929

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 487/41,741/60,957/929

Given fractions are 487/41,741/60,957/929

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 487,741,957

Greatest Common Factor of Numerators i.e. GCF of 487,741,957 is 1 .

LCM of Denominators means LCM of 41,60,929 as per the given fractions.

LCM of 41,60,929 is 2285340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,741,957

GCF of Fractions 487/41,741/60,957/929 is 1/2285340

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

Greatest Common Factor of 487,741,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,741,957 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 487,741,957 . The biggest common factor number is the GCF number.
So the greatest common factor 487,741,957 is 1.

Lets's calculate LCM of 41,60,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 2285340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2285340

Therefore, the GCF of Fractions 487/41,741/60,957/929 is 1/2285340

Least Common Multiple of 41,60,929 with GCF Formula

Least Common Multiple of 41,60,929 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 41,60,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,60,929) = 1

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

GCF(41,60,929) x common factors =1 x 1 = 1

LCM(41,60,929) = ( 41 × 60 × 929 ) / 1

LCM(41,60,929) = 2285340 / 1

LCM(41,60,929) = 2285340


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 487/41, 741/60, 957/929

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 487/41, 741/60, 957/929?

Answer: GCF of Numerators as per given numbers 487/41, 741/60, 957/929 is

GCF of Numerators i.e. for 487,741,957 is 1

LCM of denominators i.e. for 41,60,929 is 2285340.

Thus, GCF of Fractions is 1/2285340.Finally, GCF of Fractions for 487/41, 741/60, 957/929 is 1/2285340.