Greatest Common Factor of 5390/506, 9950/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5390/506, 9950/535

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 5390/506,9950/535

Given fractions are 5390/506,9950/535

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 5390,9950

Greatest Common Factor of Numerators i.e. GCF of 5390,9950 is 10 .

LCM of Denominators means LCM of 506,535 as per the given fractions.

LCM of 506,535 is 270710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5390,9950

GCF of Fractions 5390/506,9950/535 is 10/270710

2 5390, 9950
5 2695, 4975
539, 995

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

Greatest Common Factor of 5390,9950 By Matching Biggest Common Factor Method

Greatest Common Factor of 5390,9950 By Matching Biggest Common Factor Method

Factors of 5390

List of positive integer factors of 5390 that divides 5390 without a remainder.

1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390

Factors of 9950

List of positive integer factors of 9950 that divides 9950 without a remainder.

1,2,5,10,25,50,199,398,995,1990,4975,9950

Greatest Common Factor

We found the factors 5390,9950 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,9950 is 10.

Lets's calculate LCM of 506,535

Given numbers has no common factors except 1. So, there LCM is their product i.e 270710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/270710

Therefore, the GCF of Fractions 5390/506,9950/535 is 10/270710

Least Common Multiple of 506,535 with GCF Formula

Least Common Multiple of 506,535 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 506,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,535) = 1

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

GCF(506,535) x common factors =1 x 1 = 1

LCM(506,535) = ( 506 × 535 ) / 1

LCM(506,535) = 270710 / 1

LCM(506,535) = 270710


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 5390/506, 9950/535

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 5390/506, 9950/535?

Answer: GCF of Numerators as per given numbers 5390/506, 9950/535 is

GCF of Numerators i.e. for 5390,9950 is 10

LCM of denominators i.e. for 506,535 is 270710.

Thus, GCF of Fractions is 10/270710.Finally, GCF of Fractions for 5390/506, 9950/535 is 10/270710.