Greatest Common Factor of 7008/416, 5938/1605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7008/416, 5938/1605

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 7008/416,5938/1605

Given fractions are 7008/416,5938/1605

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 7008,5938

Greatest Common Factor of Numerators i.e. GCF of 7008,5938 is 2 .

LCM of Denominators means LCM of 416,1605 as per the given fractions.

LCM of 416,1605 is 667680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7008,5938

GCF of Fractions 7008/416,5938/1605 is 2/667680

2 7008, 5938
3504, 2969

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

Greatest Common Factor of 7008,5938 By Matching Biggest Common Factor Method

Greatest Common Factor of 7008,5938 By Matching Biggest Common Factor Method

Factors of 7008

List of positive integer factors of 7008 that divides 7008 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1,2,2969,5938

Greatest Common Factor

We found the factors 7008,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 7008,5938 is 2.

Lets's calculate LCM of 416,1605

Given numbers has no common factors except 1. So, there LCM is their product i.e 667680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/667680

Therefore, the GCF of Fractions 7008/416,5938/1605 is 2/667680

Least Common Multiple of 416,1605 with GCF Formula

Least Common Multiple of 416,1605 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 416,1605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,1605) = 1

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

GCF(416,1605) x common factors =1 x 1 = 1

LCM(416,1605) = ( 416 × 1605 ) / 1

LCM(416,1605) = 667680 / 1

LCM(416,1605) = 667680


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 7008/416, 5938/1605

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 7008/416, 5938/1605?

Answer: GCF of Numerators as per given numbers 7008/416, 5938/1605 is

GCF of Numerators i.e. for 7008,5938 is 2

LCM of denominators i.e. for 416,1605 is 667680.

Thus, GCF of Fractions is 2/667680.Finally, GCF of Fractions for 7008/416, 5938/1605 is 2/667680.