Greatest Common Factor of 432/515, 1970/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/515, 1970/455

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 432/515,1970/455

Given fractions are 432/515,1970/455

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 432,1970

Greatest Common Factor of Numerators i.e. GCF of 432,1970 is 2 .

LCM of Denominators means LCM of 515,455 as per the given fractions.

LCM of 515,455 is 46865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,1970

GCF of Fractions 432/515,1970/455 is 2/46865

2 432, 1970
216, 985

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

Greatest Common Factor of 432,1970 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,1970 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 1970

List of positive integer factors of 1970 that divides 1970 without a remainder.

1,2,5,10,197,394,985,1970

Greatest Common Factor

We found the factors 432,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 432,1970 is 2.

Lets's calculate LCM of 515,455

5 515, 455
103, 91

∴ So the LCM of the given numbers is 5 x 103 x 91 = 46865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46865

Therefore, the GCF of Fractions 432/515,1970/455 is 2/46865

Least Common Multiple of 515,455 with GCF Formula

Least Common Multiple of 515,455 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 515,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,455) = 5

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

GCF(515,455) x common factors =5 x 1 = 5

LCM(515,455) = ( 515 × 455 ) / 5

LCM(515,455) = 234325 / 5

LCM(515,455) = 46865


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 432/515, 1970/455

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 432/515, 1970/455?

Answer: GCF of Numerators as per given numbers 432/515, 1970/455 is

GCF of Numerators i.e. for 432,1970 is 2

LCM of denominators i.e. for 515,455 is 46865.

Thus, GCF of Fractions is 2/46865.Finally, GCF of Fractions for 432/515, 1970/455 is 2/46865.