Greatest Common Factor of 394/645, 7448/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/645, 7448/802

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 394/645,7448/802

Given fractions are 394/645,7448/802

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 394,7448

Greatest Common Factor of Numerators i.e. GCF of 394,7448 is 2 .

LCM of Denominators means LCM of 645,802 as per the given fractions.

LCM of 645,802 is 517290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,7448

GCF of Fractions 394/645,7448/802 is 2/517290

2 394, 7448
197, 3724

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

Greatest Common Factor of 394,7448 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,7448 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448

Greatest Common Factor

We found the factors 394,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 394,7448 is 2.

Lets's calculate LCM of 645,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 517290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/517290

Therefore, the GCF of Fractions 394/645,7448/802 is 2/517290

Least Common Multiple of 645,802 with GCF Formula

Least Common Multiple of 645,802 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 645,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,802) = 1

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

GCF(645,802) x common factors =1 x 1 = 1

LCM(645,802) = ( 645 × 802 ) / 1

LCM(645,802) = 517290 / 1

LCM(645,802) = 517290


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 394/645, 7448/802

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 394/645, 7448/802?

Answer: GCF of Numerators as per given numbers 394/645, 7448/802 is

GCF of Numerators i.e. for 394,7448 is 2

LCM of denominators i.e. for 645,802 is 517290.

Thus, GCF of Fractions is 2/517290.Finally, GCF of Fractions for 394/645, 7448/802 is 2/517290.