Greatest Common Factor of 352/194, 794/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 352/194, 794/505

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 352/194,794/505

Given fractions are 352/194,794/505

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 352,794

Greatest Common Factor of Numerators i.e. GCF of 352,794 is 2 .

LCM of Denominators means LCM of 194,505 as per the given fractions.

LCM of 194,505 is 97970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 352,794

GCF of Fractions 352/194,794/505 is 2/97970

2 352, 794
176, 397

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

Greatest Common Factor of 352,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,794 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 352,794 . The biggest common factor number is the GCF number.
So the greatest common factor 352,794 is 2.

Lets's calculate LCM of 194,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 97970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97970

Therefore, the GCF of Fractions 352/194,794/505 is 2/97970

Least Common Multiple of 194,505 with GCF Formula

Least Common Multiple of 194,505 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 194,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,505) = 1

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

GCF(194,505) x common factors =1 x 1 = 1

LCM(194,505) = ( 194 × 505 ) / 1

LCM(194,505) = 97970 / 1

LCM(194,505) = 97970


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 352/194, 794/505

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 352/194, 794/505?

Answer: GCF of Numerators as per given numbers 352/194, 794/505 is

GCF of Numerators i.e. for 352,794 is 2

LCM of denominators i.e. for 194,505 is 97970.

Thus, GCF of Fractions is 2/97970.Finally, GCF of Fractions for 352/194, 794/505 is 2/97970.