Greatest Common Factor of 151/489, 293/417, 905/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 151/489, 293/417, 905/890

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 151/489,293/417,905/890

Given fractions are 151/489,293/417,905/890

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 151,293,905

Greatest Common Factor of Numerators i.e. GCF of 151,293,905 is 1 .

LCM of Denominators means LCM of 489,417,890 as per the given fractions.

LCM of 489,417,890 is 60494190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 151,293,905

GCF of Fractions 151/489,293/417,905/890 is 1/60494190

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

Greatest Common Factor of 151,293,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,293,905 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 151,293,905 . The biggest common factor number is the GCF number.
So the greatest common factor 151,293,905 is 1.

Lets's calculate LCM of 489,417,890

3 489, 417, 890
163, 139, 890

∴ So the LCM of the given numbers is 3 x 163 x 139 x 890 = 60494190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60494190

Therefore, the GCF of Fractions 151/489,293/417,905/890 is 1/60494190

Least Common Multiple of 489,417,890 with GCF Formula

Least Common Multiple of 489,417,890 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 489,417,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,417,890) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(489,417,890) x common factors =1 x 3 = 3

LCM(489,417,890) = ( 489 × 417 × 890 ) / 3

LCM(489,417,890) = 181482570 / 3

LCM(489,417,890) = 60494190


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 151/489, 293/417, 905/890

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 151/489, 293/417, 905/890?

Answer: GCF of Numerators as per given numbers 151/489, 293/417, 905/890 is

GCF of Numerators i.e. for 151,293,905 is 1

LCM of denominators i.e. for 489,417,890 is 60494190.

Thus, GCF of Fractions is 1/60494190.Finally, GCF of Fractions for 151/489, 293/417, 905/890 is 1/60494190.