Greatest Common Factor of 122/963, 258/804, 270/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 122/963, 258/804, 270/782

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 122/963,258/804,270/782

Given fractions are 122/963,258/804,270/782

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 122,258,270

Greatest Common Factor of Numerators i.e. GCF of 122,258,270 is 2 .

LCM of Denominators means LCM of 963,804,782 as per the given fractions.

LCM of 963,804,782 is 100910844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 122,258,270

GCF of Fractions 122/963,258/804,270/782 is 2/100910844

2 122, 258, 270
61, 129, 135

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 122,258,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,258,270 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 122,258,270 . The biggest common factor number is the GCF number.
So the greatest common factor 122,258,270 is 2.

Lets's calculate LCM of 963,804,782

2 963, 804, 782
3 963, 402, 391
321, 134, 391

∴ So the LCM of the given numbers is 2 x 3 x 321 x 134 x 391 = 100910844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100910844

Therefore, the GCF of Fractions 122/963,258/804,270/782 is 2/100910844

Least Common Multiple of 963,804,782 with GCF Formula

Least Common Multiple of 963,804,782 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 963,804,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,804,782) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(963,804,782) x common factors =1 x 6 = 6

LCM(963,804,782) = ( 963 × 804 × 782 ) / 6

LCM(963,804,782) = 605465064 / 6

LCM(963,804,782) = 100910844


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 122/963, 258/804, 270/782

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 122/963, 258/804, 270/782?

Answer: GCF of Numerators as per given numbers 122/963, 258/804, 270/782 is

GCF of Numerators i.e. for 122,258,270 is 2

LCM of denominators i.e. for 963,804,782 is 100910844.

Thus, GCF of Fractions is 2/100910844.Finally, GCF of Fractions for 122/963, 258/804, 270/782 is 2/100910844.