Greatest Common Factor of 39/890, 229/269, 282/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/890, 229/269, 282/827

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 39/890,229/269,282/827

Given fractions are 39/890,229/269,282/827

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 39,229,282

Greatest Common Factor of Numerators i.e. GCF of 39,229,282 is 1 .

LCM of Denominators means LCM of 890,269,827 as per the given fractions.

LCM of 890,269,827 is 197992070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,229,282

GCF of Fractions 39/890,229/269,282/827 is 1/197992070

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

Greatest Common Factor of 39,229,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,229,282 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 39,229,282 . The biggest common factor number is the GCF number.
So the greatest common factor 39,229,282 is 1.

Lets's calculate LCM of 890,269,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 197992070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197992070

Therefore, the GCF of Fractions 39/890,229/269,282/827 is 1/197992070

Least Common Multiple of 890,269,827 with GCF Formula

Least Common Multiple of 890,269,827 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 890,269,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,269,827) = 1

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

GCF(890,269,827) x common factors =1 x 1 = 1

LCM(890,269,827) = ( 890 × 269 × 827 ) / 1

LCM(890,269,827) = 197992070 / 1

LCM(890,269,827) = 197992070


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 39/890, 229/269, 282/827

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 39/890, 229/269, 282/827?

Answer: GCF of Numerators as per given numbers 39/890, 229/269, 282/827 is

GCF of Numerators i.e. for 39,229,282 is 1

LCM of denominators i.e. for 890,269,827 is 197992070.

Thus, GCF of Fractions is 1/197992070.Finally, GCF of Fractions for 39/890, 229/269, 282/827 is 1/197992070.