Greatest Common Factor of 385/998, 1672/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/998, 1672/403

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 385/998,1672/403

Given fractions are 385/998,1672/403

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 385,1672

Greatest Common Factor of Numerators i.e. GCF of 385,1672 is 11 .

LCM of Denominators means LCM of 998,403 as per the given fractions.

LCM of 998,403 is 402194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,1672

GCF of Fractions 385/998,1672/403 is 11/402194

11 385, 1672
35, 152

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

Greatest Common Factor of 385,1672 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,1672 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672

Greatest Common Factor

We found the factors 385,1672 . The biggest common factor number is the GCF number.
So the greatest common factor 385,1672 is 11.

Lets's calculate LCM of 998,403

Given numbers has no common factors except 1. So, there LCM is their product i.e 402194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/402194

Therefore, the GCF of Fractions 385/998,1672/403 is 11/402194

Least Common Multiple of 998,403 with GCF Formula

Least Common Multiple of 998,403 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 998,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,403) = 1

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

GCF(998,403) x common factors =1 x 1 = 1

LCM(998,403) = ( 998 × 403 ) / 1

LCM(998,403) = 402194 / 1

LCM(998,403) = 402194


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 385/998, 1672/403

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 385/998, 1672/403?

Answer: GCF of Numerators as per given numbers 385/998, 1672/403 is

GCF of Numerators i.e. for 385,1672 is 11

LCM of denominators i.e. for 998,403 is 402194.

Thus, GCF of Fractions is 11/402194.Finally, GCF of Fractions for 385/998, 1672/403 is 11/402194.