Greatest Common Factor of 2/42, 63/80, 45/990, 393/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/42, 63/80, 45/990, 393/265

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 2/42,63/80,45/990,393/265

Given fractions are 2/42,63/80,45/990,393/265

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 2,63,45,393

Greatest Common Factor of Numerators i.e. GCF of 2,63,45,393 is 1 .

LCM of Denominators means LCM of 42,80,990,265 as per the given fractions.

LCM of 42,80,990,265 is 2938320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,63,45,393

GCF of Fractions 2/42,63/80,45/990,393/265 is 1/2938320

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

Greatest Common Factor of 2,63,45,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,63,45,393 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 45

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

1,3,5,9,15,45

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 2,63,45,393 . The biggest common factor number is the GCF number.
So the greatest common factor 2,63,45,393 is 1.

Lets's calculate LCM of 42,80,990,265

2 42, 80, 990, 265
3 21, 40, 495, 265
5 7, 40, 165, 265
7, 8, 33, 53

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 8 x 33 x 53 = 2938320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2938320

Therefore, the GCF of Fractions 2/42,63/80,45/990,393/265 is 1/2938320

Least Common Multiple of 42,80,990,265 with GCF Formula

Least Common Multiple of 42,80,990,265 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 42,80,990,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,80,990,265) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(42,80,990,265) x common factors =1 x 300 = 300

LCM(42,80,990,265) = ( 42 × 80 × 990 × 265 ) / 300

LCM(42,80,990,265) = 881496000 / 300

LCM(42,80,990,265) = 2938320


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 2/42, 63/80, 45/990, 393/265

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 2/42, 63/80, 45/990, 393/265?

Answer: GCF of Numerators as per given numbers 2/42, 63/80, 45/990, 393/265 is

GCF of Numerators i.e. for 2,63,45,393 is 1

LCM of denominators i.e. for 42,80,990,265 is 2938320.

Thus, GCF of Fractions is 1/2938320.Finally, GCF of Fractions for 2/42, 63/80, 45/990, 393/265 is 1/2938320.