Greatest Common Factor of 47/954, 366/577, 313/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 47/954, 366/577, 313/271

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 47/954,366/577,313/271

Given fractions are 47/954,366/577,313/271

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 47,366,313

Greatest Common Factor of Numerators i.e. GCF of 47,366,313 is 1 .

LCM of Denominators means LCM of 954,577,271 as per the given fractions.

LCM of 954,577,271 is 149174118 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,366,313

GCF of Fractions 47/954,366/577,313/271 is 1/149174118

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

Greatest Common Factor of 47,366,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,366,313 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 47,366,313 . The biggest common factor number is the GCF number.
So the greatest common factor 47,366,313 is 1.


Lets's calculate LCM of 954,577,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 149174118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149174118

Therefore, the GCF of Fractions 47/954,366/577,313/271 is 1/149174118

Least Common Multiple of 954,577,271 with GCF Formula

Least Common Multiple of 954,577,271 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 954,577,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,577,271) = 1

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

GCF(954,577,271) x common factors =1 x 1 = 1

LCM(954,577,271) = ( 954 × 577 × 271 ) / 1

LCM(954,577,271) = 149174118 / 1

LCM(954,577,271) = 149174118


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 47/954, 366/577, 313/271

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 47/954, 366/577, 313/271?

Answer: GCF of Numerators as per given numbers 47/954, 366/577, 313/271 is

GCF of Numerators i.e. for 47,366,313 is 1

LCM of denominators i.e. for 954,577,271 is 149174118.

Thus, GCF of Fractions is 1/149174118.Finally, GCF of Fractions for 47/954, 366/577, 313/271 is 1/149174118.