Greatest Common Factor of 3602/790, 8207/4978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3602/790, 8207/4978

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 3602/790,8207/4978

Given fractions are 3602/790,8207/4978

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 3602,8207

Greatest Common Factor of Numerators i.e. GCF of 3602,8207 is 1 .

LCM of Denominators means LCM of 790,4978 as per the given fractions.

LCM of 790,4978 is 1966310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3602,8207

GCF of Fractions 3602/790,8207/4978 is 1/1966310

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

Greatest Common Factor of 3602,8207 By Matching Biggest Common Factor Method

Greatest Common Factor of 3602,8207 By Matching Biggest Common Factor Method

Factors of 3602

List of positive integer factors of 3602 that divides 3602 without a remainder.

1,2,1801,3602

Factors of 8207

List of positive integer factors of 8207 that divides 8207 without a remainder.

1,29,283,8207

Greatest Common Factor

We found the factors 3602,8207 . The biggest common factor number is the GCF number.
So the greatest common factor 3602,8207 is 1.

Lets's calculate LCM of 790,4978

2 790, 4978
395, 2489

∴ So the LCM of the given numbers is 2 x 395 x 2489 = 1966310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1966310

Therefore, the GCF of Fractions 3602/790,8207/4978 is 1/1966310

Least Common Multiple of 790,4978 with GCF Formula

Least Common Multiple of 790,4978 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 790,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,4978) = 2

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

GCF(790,4978) x common factors =2 x 1 = 2

LCM(790,4978) = ( 790 × 4978 ) / 2

LCM(790,4978) = 3932620 / 2

LCM(790,4978) = 1966310


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 3602/790, 8207/4978

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 3602/790, 8207/4978?

Answer: GCF of Numerators as per given numbers 3602/790, 8207/4978 is

GCF of Numerators i.e. for 3602,8207 is 1

LCM of denominators i.e. for 790,4978 is 1966310.

Thus, GCF of Fractions is 1/1966310.Finally, GCF of Fractions for 3602/790, 8207/4978 is 1/1966310.