Greatest Common Factor of 7385/695, 8768/4958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7385/695, 8768/4958

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 7385/695,8768/4958

Given fractions are 7385/695,8768/4958

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 7385,8768

Greatest Common Factor of Numerators i.e. GCF of 7385,8768 is 1 .

LCM of Denominators means LCM of 695,4958 as per the given fractions.

LCM of 695,4958 is 3445810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7385,8768

GCF of Fractions 7385/695,8768/4958 is 1/3445810

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

Greatest Common Factor of 7385,8768 By Matching Biggest Common Factor Method

Greatest Common Factor of 7385,8768 By Matching Biggest Common Factor Method

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1,5,7,35,211,1055,1477,7385

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Greatest Common Factor

We found the factors 7385,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 7385,8768 is 1.

Lets's calculate LCM of 695,4958

Given numbers has no common factors except 1. So, there LCM is their product i.e 3445810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3445810

Therefore, the GCF of Fractions 7385/695,8768/4958 is 1/3445810

Least Common Multiple of 695,4958 with GCF Formula

Least Common Multiple of 695,4958 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 695,4958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,4958) = 1

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

GCF(695,4958) x common factors =1 x 1 = 1

LCM(695,4958) = ( 695 × 4958 ) / 1

LCM(695,4958) = 3445810 / 1

LCM(695,4958) = 3445810


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 7385/695, 8768/4958

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 7385/695, 8768/4958?

Answer: GCF of Numerators as per given numbers 7385/695, 8768/4958 is

GCF of Numerators i.e. for 7385,8768 is 1

LCM of denominators i.e. for 695,4958 is 3445810.

Thus, GCF of Fractions is 1/3445810.Finally, GCF of Fractions for 7385/695, 8768/4958 is 1/3445810.