Greatest Common Factor of 48/33, 765/87, 870/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/33, 765/87, 870/257

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 48/33,765/87,870/257

Given fractions are 48/33,765/87,870/257

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 48,765,870

Greatest Common Factor of Numerators i.e. GCF of 48,765,870 is 3 .

LCM of Denominators means LCM of 33,87,257 as per the given fractions.

LCM of 33,87,257 is 245949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,765,870

GCF of Fractions 48/33,765/87,870/257 is 3/245949

3 48, 765, 870
16, 255, 290

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 48,765,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,765,870 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 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 48,765,870 . The biggest common factor number is the GCF number.
So the greatest common factor 48,765,870 is 3.

Lets's calculate LCM of 33,87,257

3 33, 87, 257
11, 29, 257

∴ So the LCM of the given numbers is 3 x 11 x 29 x 257 = 245949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/245949

Therefore, the GCF of Fractions 48/33,765/87,870/257 is 3/245949

Least Common Multiple of 33,87,257 with GCF Formula

Least Common Multiple of 33,87,257 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 33,87,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,87,257) = 1

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

GCF(33,87,257) x common factors =1 x 3 = 3

LCM(33,87,257) = ( 33 × 87 × 257 ) / 3

LCM(33,87,257) = 737847 / 3

LCM(33,87,257) = 245949


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 48/33, 765/87, 870/257

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 48/33, 765/87, 870/257?

Answer: GCF of Numerators as per given numbers 48/33, 765/87, 870/257 is

GCF of Numerators i.e. for 48,765,870 is 3

LCM of denominators i.e. for 33,87,257 is 245949.

Thus, GCF of Fractions is 3/245949.Finally, GCF of Fractions for 48/33, 765/87, 870/257 is 3/245949.