Greatest Common Factor of 6985/492, 3322/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6985/492, 3322/403

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 6985/492,3322/403

Given fractions are 6985/492,3322/403

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 6985,3322

Greatest Common Factor of Numerators i.e. GCF of 6985,3322 is 11 .

LCM of Denominators means LCM of 492,403 as per the given fractions.

LCM of 492,403 is 198276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6985,3322

GCF of Fractions 6985/492,3322/403 is 11/198276

11 6985, 3322
635, 302

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6985,3322 By Matching Biggest Common Factor Method

Greatest Common Factor of 6985,3322 By Matching Biggest Common Factor Method

Factors of 6985

List of positive integer factors of 6985 that divides 6985 without a remainder.

1,5,11,55,127,635,1397,6985

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Greatest Common Factor

We found the factors 6985,3322 . The biggest common factor number is the GCF number.
So the greatest common factor 6985,3322 is 11.

Lets's calculate LCM of 492,403

Given numbers has no common factors except 1. So, there LCM is their product i.e 198276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/198276

Therefore, the GCF of Fractions 6985/492,3322/403 is 11/198276

Least Common Multiple of 492,403 with GCF Formula

Least Common Multiple of 492,403 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 492,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,403) = 1

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

GCF(492,403) x common factors =1 x 1 = 1

LCM(492,403) = ( 492 × 403 ) / 1

LCM(492,403) = 198276 / 1

LCM(492,403) = 198276


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 6985/492, 3322/403

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 6985/492, 3322/403?

Answer: GCF of Numerators as per given numbers 6985/492, 3322/403 is

GCF of Numerators i.e. for 6985,3322 is 11

LCM of denominators i.e. for 492,403 is 198276.

Thus, GCF of Fractions is 11/198276.Finally, GCF of Fractions for 6985/492, 3322/403 is 11/198276.