Greatest Common Factor of 3410/350, 5336/6539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3410/350, 5336/6539

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 3410/350,5336/6539

Given fractions are 3410/350,5336/6539

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 3410,5336

Greatest Common Factor of Numerators i.e. GCF of 3410,5336 is 2 .

LCM of Denominators means LCM of 350,6539 as per the given fractions.

LCM of 350,6539 is 2288650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3410,5336

GCF of Fractions 3410/350,5336/6539 is 2/2288650

2 3410, 5336
1705, 2668

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3410,5336 By Matching Biggest Common Factor Method

Greatest Common Factor of 3410,5336 By Matching Biggest Common Factor Method

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Greatest Common Factor

We found the factors 3410,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,5336 is 2.

Lets's calculate LCM of 350,6539

Given numbers has no common factors except 1. So, there LCM is their product i.e 2288650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2288650

Therefore, the GCF of Fractions 3410/350,5336/6539 is 2/2288650

Least Common Multiple of 350,6539 with GCF Formula

Least Common Multiple of 350,6539 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 350,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,6539) = 1

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

GCF(350,6539) x common factors =1 x 1 = 1

LCM(350,6539) = ( 350 × 6539 ) / 1

LCM(350,6539) = 2288650 / 1

LCM(350,6539) = 2288650


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 3410/350, 5336/6539

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 3410/350, 5336/6539?

Answer: GCF of Numerators as per given numbers 3410/350, 5336/6539 is

GCF of Numerators i.e. for 3410,5336 is 2

LCM of denominators i.e. for 350,6539 is 2288650.

Thus, GCF of Fractions is 2/2288650.Finally, GCF of Fractions for 3410/350, 5336/6539 is 2/2288650.