Greatest Common Factor of 532/505, 3202/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/505, 3202/150

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 532/505,3202/150

Given fractions are 532/505,3202/150

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 532,3202

Greatest Common Factor of Numerators i.e. GCF of 532,3202 is 2 .

LCM of Denominators means LCM of 505,150 as per the given fractions.

LCM of 505,150 is 15150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,3202

GCF of Fractions 532/505,3202/150 is 2/15150

2 532, 3202
266, 1601

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

Greatest Common Factor of 532,3202 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,3202 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 3202

List of positive integer factors of 3202 that divides 3202 without a remainder.

1,2,1601,3202

Greatest Common Factor

We found the factors 532,3202 . The biggest common factor number is the GCF number.
So the greatest common factor 532,3202 is 2.

Lets's calculate LCM of 505,150

5 505, 150
101, 30

∴ So the LCM of the given numbers is 5 x 101 x 30 = 15150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15150

Therefore, the GCF of Fractions 532/505,3202/150 is 2/15150

Least Common Multiple of 505,150 with GCF Formula

Least Common Multiple of 505,150 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 505,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,150) = 5

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

GCF(505,150) x common factors =5 x 1 = 5

LCM(505,150) = ( 505 × 150 ) / 5

LCM(505,150) = 75750 / 5

LCM(505,150) = 15150


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 532/505, 3202/150

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 532/505, 3202/150?

Answer: GCF of Numerators as per given numbers 532/505, 3202/150 is

GCF of Numerators i.e. for 532,3202 is 2

LCM of denominators i.e. for 505,150 is 15150.

Thus, GCF of Fractions is 2/15150.Finally, GCF of Fractions for 532/505, 3202/150 is 2/15150.