Greatest Common Factor of 9690/507, 9994/3538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9690/507, 9994/3538

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 9690/507,9994/3538

Given fractions are 9690/507,9994/3538

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 9690,9994

Greatest Common Factor of Numerators i.e. GCF of 9690,9994 is 38 .

LCM of Denominators means LCM of 507,3538 as per the given fractions.

LCM of 507,3538 is 1793766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9690,9994

GCF of Fractions 9690/507,9994/3538 is 38/1793766

2 9690, 9994
19 4845, 4997
255, 263

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 9690,9994 By Matching Biggest Common Factor Method

Greatest Common Factor of 9690,9994 By Matching Biggest Common Factor Method

Factors of 9690

List of positive integer factors of 9690 that divides 9690 without a remainder.

1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690

Factors of 9994

List of positive integer factors of 9994 that divides 9994 without a remainder.

1,2,19,38,263,526,4997,9994

Greatest Common Factor

We found the factors 9690,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 9690,9994 is 38.

Lets's calculate LCM of 507,3538

Given numbers has no common factors except 1. So, there LCM is their product i.e 1793766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1793766

Therefore, the GCF of Fractions 9690/507,9994/3538 is 38/1793766

Least Common Multiple of 507,3538 with GCF Formula

Least Common Multiple of 507,3538 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 507,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,3538) = 1

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

GCF(507,3538) x common factors =1 x 1 = 1

LCM(507,3538) = ( 507 × 3538 ) / 1

LCM(507,3538) = 1793766 / 1

LCM(507,3538) = 1793766


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 9690/507, 9994/3538

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 9690/507, 9994/3538?

Answer: GCF of Numerators as per given numbers 9690/507, 9994/3538 is

GCF of Numerators i.e. for 9690,9994 is 38

LCM of denominators i.e. for 507,3538 is 1793766.

Thus, GCF of Fractions is 38/1793766.Finally, GCF of Fractions for 9690/507, 9994/3538 is 38/1793766.