Greatest Common Factor of 7216/689, 5059/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7216/689, 5059/478

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 7216/689,5059/478

Given fractions are 7216/689,5059/478

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 7216,5059

Greatest Common Factor of Numerators i.e. GCF of 7216,5059 is 1 .

LCM of Denominators means LCM of 689,478 as per the given fractions.

LCM of 689,478 is 329342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7216,5059

GCF of Fractions 7216/689,5059/478 is 1/329342

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7216,5059 By Matching Biggest Common Factor Method

Greatest Common Factor of 7216,5059 By Matching Biggest Common Factor Method

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Factors of 5059

List of positive integer factors of 5059 that divides 5059 without a remainder.

1,5059

Greatest Common Factor

We found the factors 7216,5059 . The biggest common factor number is the GCF number.
So the greatest common factor 7216,5059 is 1.

Lets's calculate LCM of 689,478

Given numbers has no common factors except 1. So, there LCM is their product i.e 329342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329342

Therefore, the GCF of Fractions 7216/689,5059/478 is 1/329342

Least Common Multiple of 689,478 with GCF Formula

Least Common Multiple of 689,478 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 689,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,478) = 1

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

GCF(689,478) x common factors =1 x 1 = 1

LCM(689,478) = ( 689 × 478 ) / 1

LCM(689,478) = 329342 / 1

LCM(689,478) = 329342


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 7216/689, 5059/478

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 7216/689, 5059/478?

Answer: GCF of Numerators as per given numbers 7216/689, 5059/478 is

GCF of Numerators i.e. for 7216,5059 is 1

LCM of denominators i.e. for 689,478 is 329342.

Thus, GCF of Fractions is 1/329342.Finally, GCF of Fractions for 7216/689, 5059/478 is 1/329342.