Greatest Common Factor of 3298/67, 1802/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3298/67, 1802/849

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 3298/67,1802/849

Given fractions are 3298/67,1802/849

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 3298,1802

Greatest Common Factor of Numerators i.e. GCF of 3298,1802 is 34 .

LCM of Denominators means LCM of 67,849 as per the given fractions.

LCM of 67,849 is 56883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3298,1802

GCF of Fractions 3298/67,1802/849 is 34/56883

2 3298, 1802
17 1649, 901
97, 53

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 3298,1802 By Matching Biggest Common Factor Method

Greatest Common Factor of 3298,1802 By Matching Biggest Common Factor Method

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1,2,17,34,53,106,901,1802

Greatest Common Factor

We found the factors 3298,1802 . The biggest common factor number is the GCF number.
So the greatest common factor 3298,1802 is 34.

Lets's calculate LCM of 67,849

Given numbers has no common factors except 1. So, there LCM is their product i.e 56883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/56883

Therefore, the GCF of Fractions 3298/67,1802/849 is 34/56883

Least Common Multiple of 67,849 with GCF Formula

Least Common Multiple of 67,849 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 67,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,849) = 1

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

GCF(67,849) x common factors =1 x 1 = 1

LCM(67,849) = ( 67 × 849 ) / 1

LCM(67,849) = 56883 / 1

LCM(67,849) = 56883


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 3298/67, 1802/849

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 3298/67, 1802/849?

Answer: GCF of Numerators as per given numbers 3298/67, 1802/849 is

GCF of Numerators i.e. for 3298,1802 is 34

LCM of denominators i.e. for 67,849 is 56883.

Thus, GCF of Fractions is 34/56883.Finally, GCF of Fractions for 3298/67, 1802/849 is 34/56883.