Greatest Common Factor of 1270/150, 2810/1288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1270/150, 2810/1288

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 1270/150,2810/1288

Given fractions are 1270/150,2810/1288

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 1270,2810

Greatest Common Factor of Numerators i.e. GCF of 1270,2810 is 10 .

LCM of Denominators means LCM of 150,1288 as per the given fractions.

LCM of 150,1288 is 96600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1270,2810

GCF of Fractions 1270/150,2810/1288 is 10/96600

2 1270, 2810
5 635, 1405
127, 281

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1270,2810 By Matching Biggest Common Factor Method

Greatest Common Factor of 1270,2810 By Matching Biggest Common Factor Method

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1,2,5,10,127,254,635,1270

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1,2,5,10,281,562,1405,2810

Greatest Common Factor

We found the factors 1270,2810 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,2810 is 10.

Lets's calculate LCM of 150,1288

2 150, 1288
75, 644

∴ So the LCM of the given numbers is 2 x 75 x 644 = 96600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/96600

Therefore, the GCF of Fractions 1270/150,2810/1288 is 10/96600

Least Common Multiple of 150,1288 with GCF Formula

Least Common Multiple of 150,1288 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 150,1288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,1288) = 2

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

GCF(150,1288) x common factors =2 x 1 = 2

LCM(150,1288) = ( 150 × 1288 ) / 2

LCM(150,1288) = 193200 / 2

LCM(150,1288) = 96600


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 1270/150, 2810/1288

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 1270/150, 2810/1288?

Answer: GCF of Numerators as per given numbers 1270/150, 2810/1288 is

GCF of Numerators i.e. for 1270,2810 is 10

LCM of denominators i.e. for 150,1288 is 96600.

Thus, GCF of Fractions is 10/96600.Finally, GCF of Fractions for 1270/150, 2810/1288 is 10/96600.