Greatest Common Factor of 3290/77, 6167/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3290/77, 6167/298

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 3290/77,6167/298

Given fractions are 3290/77,6167/298

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 3290,6167

Greatest Common Factor of Numerators i.e. GCF of 3290,6167 is 7 .

LCM of Denominators means LCM of 77,298 as per the given fractions.

LCM of 77,298 is 22946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3290,6167

GCF of Fractions 3290/77,6167/298 is 7/22946

7 3290, 6167
470, 881

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3290,6167 By Matching Biggest Common Factor Method

Greatest Common Factor of 3290,6167 By Matching Biggest Common Factor Method

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Factors of 6167

List of positive integer factors of 6167 that divides 6167 without a remainder.

1,7,881,6167

Greatest Common Factor

We found the factors 3290,6167 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,6167 is 7.

Lets's calculate LCM of 77,298

Given numbers has no common factors except 1. So, there LCM is their product i.e 22946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/22946

Therefore, the GCF of Fractions 3290/77,6167/298 is 7/22946

Least Common Multiple of 77,298 with GCF Formula

Least Common Multiple of 77,298 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 77,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,298) = 1

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

GCF(77,298) x common factors =1 x 1 = 1

LCM(77,298) = ( 77 × 298 ) / 1

LCM(77,298) = 22946 / 1

LCM(77,298) = 22946


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 3290/77, 6167/298

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 3290/77, 6167/298?

Answer: GCF of Numerators as per given numbers 3290/77, 6167/298 is

GCF of Numerators i.e. for 3290,6167 is 7

LCM of denominators i.e. for 77,298 is 22946.

Thus, GCF of Fractions is 7/22946.Finally, GCF of Fractions for 3290/77, 6167/298 is 7/22946.