Greatest Common Factor of 3424/617, 7390/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3424/617, 7390/248

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 3424/617,7390/248

Given fractions are 3424/617,7390/248

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 3424,7390

Greatest Common Factor of Numerators i.e. GCF of 3424,7390 is 2 .

LCM of Denominators means LCM of 617,248 as per the given fractions.

LCM of 617,248 is 153016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3424,7390

GCF of Fractions 3424/617,7390/248 is 2/153016

2 3424, 7390
1712, 3695

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

Greatest Common Factor of 3424,7390 By Matching Biggest Common Factor Method

Greatest Common Factor of 3424,7390 By Matching Biggest Common Factor Method

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1,2,5,10,739,1478,3695,7390

Greatest Common Factor

We found the factors 3424,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 3424,7390 is 2.

Lets's calculate LCM of 617,248

Given numbers has no common factors except 1. So, there LCM is their product i.e 153016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153016

Therefore, the GCF of Fractions 3424/617,7390/248 is 2/153016

Least Common Multiple of 617,248 with GCF Formula

Least Common Multiple of 617,248 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 617,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,248) = 1

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

GCF(617,248) x common factors =1 x 1 = 1

LCM(617,248) = ( 617 × 248 ) / 1

LCM(617,248) = 153016 / 1

LCM(617,248) = 153016


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 3424/617, 7390/248

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 3424/617, 7390/248?

Answer: GCF of Numerators as per given numbers 3424/617, 7390/248 is

GCF of Numerators i.e. for 3424,7390 is 2

LCM of denominators i.e. for 617,248 is 153016.

Thus, GCF of Fractions is 2/153016.Finally, GCF of Fractions for 3424/617, 7390/248 is 2/153016.