Greatest Common Factor of 1270/505, 2348/3030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1270/505, 2348/3030

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 1270/505,2348/3030

Given fractions are 1270/505,2348/3030

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 1270,2348

Greatest Common Factor of Numerators i.e. GCF of 1270,2348 is 2 .

LCM of Denominators means LCM of 505,3030 as per the given fractions.

LCM of 505,3030 is 3030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1270,2348

GCF of Fractions 1270/505,2348/3030 is 2/3030

2 1270, 2348
635, 1174

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

Greatest Common Factor of 1270,2348 By Matching Biggest Common Factor Method

Greatest Common Factor of 1270,2348 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 2348

List of positive integer factors of 2348 that divides 2348 without a remainder.

1,2,4,587,1174,2348

Greatest Common Factor

We found the factors 1270,2348 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,2348 is 2.

Lets's calculate LCM of 505,3030

5 505, 3030
101 101, 606
1, 6

∴ So the LCM of the given numbers is 5 x 101 x 1 x 6 = 3030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3030

Therefore, the GCF of Fractions 1270/505,2348/3030 is 2/3030

Least Common Multiple of 505,3030 with GCF Formula

Least Common Multiple of 505,3030 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 505,3030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,3030) = 505

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

GCF(505,3030) x common factors =505 x 1 = 505

LCM(505,3030) = ( 505 × 3030 ) / 505

LCM(505,3030) = 1530150 / 505

LCM(505,3030) = 3030


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 1270/505, 2348/3030

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 1270/505, 2348/3030?

Answer: GCF of Numerators as per given numbers 1270/505, 2348/3030 is

GCF of Numerators i.e. for 1270,2348 is 2

LCM of denominators i.e. for 505,3030 is 3030.

Thus, GCF of Fractions is 2/3030.Finally, GCF of Fractions for 1270/505, 2348/3030 is 2/3030.