Greatest Common Factor of 45/838, 27/590, 707/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/838, 27/590, 707/984

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 45/838,27/590,707/984

Given fractions are 45/838,27/590,707/984

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 45,27,707

Greatest Common Factor of Numerators i.e. GCF of 45,27,707 is 1 .

LCM of Denominators means LCM of 838,590,984 as per the given fractions.

LCM of 838,590,984 is 121627320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,27,707

GCF of Fractions 45/838,27/590,707/984 is 1/121627320

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

Greatest Common Factor of 45,27,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,27,707 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 45,27,707 . The biggest common factor number is the GCF number.
So the greatest common factor 45,27,707 is 1.

Lets's calculate LCM of 838,590,984

2 838, 590, 984
419, 295, 492

∴ So the LCM of the given numbers is 2 x 419 x 295 x 492 = 121627320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121627320

Therefore, the GCF of Fractions 45/838,27/590,707/984 is 1/121627320

Least Common Multiple of 838,590,984 with GCF Formula

Least Common Multiple of 838,590,984 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 838,590,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,590,984) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(838,590,984) x common factors =2 x 2 = 4

LCM(838,590,984) = ( 838 × 590 × 984 ) / 4

LCM(838,590,984) = 486509280 / 4

LCM(838,590,984) = 121627320


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 45/838, 27/590, 707/984

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 45/838, 27/590, 707/984?

Answer: GCF of Numerators as per given numbers 45/838, 27/590, 707/984 is

GCF of Numerators i.e. for 45,27,707 is 1

LCM of denominators i.e. for 838,590,984 is 121627320.

Thus, GCF of Fractions is 1/121627320.Finally, GCF of Fractions for 45/838, 27/590, 707/984 is 1/121627320.