Greatest Common Factor of 48/693, 258/593, 962/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/693, 258/593, 962/275

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 48/693,258/593,962/275

Given fractions are 48/693,258/593,962/275

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 48,258,962

Greatest Common Factor of Numerators i.e. GCF of 48,258,962 is 2 .

LCM of Denominators means LCM of 693,593,275 as per the given fractions.

LCM of 693,593,275 is 10273725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,258,962

GCF of Fractions 48/693,258/593,962/275 is 2/10273725

2 48, 258, 962
24, 129, 481

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

Greatest Common Factor of 48,258,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,258,962 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 48,258,962 . The biggest common factor number is the GCF number.
So the greatest common factor 48,258,962 is 2.

Lets's calculate LCM of 693,593,275

11 693, 593, 275
63, 593, 25

∴ So the LCM of the given numbers is 11 x 63 x 593 x 25 = 10273725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10273725

Therefore, the GCF of Fractions 48/693,258/593,962/275 is 2/10273725

Least Common Multiple of 693,593,275 with GCF Formula

Least Common Multiple of 693,593,275 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 693,593,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,593,275) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(693,593,275) x common factors =1 x 11 = 11

LCM(693,593,275) = ( 693 × 593 × 275 ) / 11

LCM(693,593,275) = 113010975 / 11

LCM(693,593,275) = 10273725


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 48/693, 258/593, 962/275

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 48/693, 258/593, 962/275?

Answer: GCF of Numerators as per given numbers 48/693, 258/593, 962/275 is

GCF of Numerators i.e. for 48,258,962 is 2

LCM of denominators i.e. for 693,593,275 is 10273725.

Thus, GCF of Fractions is 2/10273725.Finally, GCF of Fractions for 48/693, 258/593, 962/275 is 2/10273725.