Greatest Common Factor of 5060/60, 9700/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5060/60, 9700/506

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 5060/60,9700/506

Given fractions are 5060/60,9700/506

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 5060,9700

Greatest Common Factor of Numerators i.e. GCF of 5060,9700 is 20 .

LCM of Denominators means LCM of 60,506 as per the given fractions.

LCM of 60,506 is 15180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5060,9700

GCF of Fractions 5060/60,9700/506 is 20/15180

2 5060, 9700
2 2530, 4850
5 1265, 2425
253, 485

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 5060,9700 By Matching Biggest Common Factor Method

Greatest Common Factor of 5060,9700 By Matching Biggest Common Factor Method

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

Greatest Common Factor

We found the factors 5060,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 5060,9700 is 20.

Lets's calculate LCM of 60,506

2 60, 506
30, 253

∴ So the LCM of the given numbers is 2 x 30 x 253 = 15180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/15180

Therefore, the GCF of Fractions 5060/60,9700/506 is 20/15180

Least Common Multiple of 60,506 with GCF Formula

Least Common Multiple of 60,506 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 60,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,506) = 2

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

GCF(60,506) x common factors =2 x 1 = 2

LCM(60,506) = ( 60 × 506 ) / 2

LCM(60,506) = 30360 / 2

LCM(60,506) = 15180


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 5060/60, 9700/506

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 5060/60, 9700/506?

Answer: GCF of Numerators as per given numbers 5060/60, 9700/506 is

GCF of Numerators i.e. for 5060,9700 is 20

LCM of denominators i.e. for 60,506 is 15180.

Thus, GCF of Fractions is 20/15180.Finally, GCF of Fractions for 5060/60, 9700/506 is 20/15180.