Greatest Common Factor of 1510/229, 1432/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1510/229, 1432/390

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 1510/229,1432/390

Given fractions are 1510/229,1432/390

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 1510,1432

Greatest Common Factor of Numerators i.e. GCF of 1510,1432 is 2 .

LCM of Denominators means LCM of 229,390 as per the given fractions.

LCM of 229,390 is 89310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1510,1432

GCF of Fractions 1510/229,1432/390 is 2/89310

2 1510, 1432
755, 716

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

Greatest Common Factor of 1510,1432 By Matching Biggest Common Factor Method

Greatest Common Factor of 1510,1432 By Matching Biggest Common Factor Method

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1,2,5,10,151,302,755,1510

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

Greatest Common Factor

We found the factors 1510,1432 . The biggest common factor number is the GCF number.
So the greatest common factor 1510,1432 is 2.

Lets's calculate LCM of 229,390

Given numbers has no common factors except 1. So, there LCM is their product i.e 89310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89310

Therefore, the GCF of Fractions 1510/229,1432/390 is 2/89310

Least Common Multiple of 229,390 with GCF Formula

Least Common Multiple of 229,390 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 229,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,390) = 1

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

GCF(229,390) x common factors =1 x 1 = 1

LCM(229,390) = ( 229 × 390 ) / 1

LCM(229,390) = 89310 / 1

LCM(229,390) = 89310


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 1510/229, 1432/390

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 1510/229, 1432/390?

Answer: GCF of Numerators as per given numbers 1510/229, 1432/390 is

GCF of Numerators i.e. for 1510,1432 is 2

LCM of denominators i.e. for 229,390 is 89310.

Thus, GCF of Fractions is 2/89310.Finally, GCF of Fractions for 1510/229, 1432/390 is 2/89310.