Greatest Common Factor of 194/105, 400/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/105, 400/455

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 194/105,400/455

Given fractions are 194/105,400/455

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 194,400

Greatest Common Factor of Numerators i.e. GCF of 194,400 is 2 .

LCM of Denominators means LCM of 105,455 as per the given fractions.

LCM of 105,455 is 1365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,400

GCF of Fractions 194/105,400/455 is 2/1365

2 194, 400
97, 200

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

Greatest Common Factor of 194,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,400 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 194,400 . The biggest common factor number is the GCF number.
So the greatest common factor 194,400 is 2.

Lets's calculate LCM of 105,455

5 105, 455
7 21, 91
3, 13

∴ So the LCM of the given numbers is 5 x 7 x 3 x 13 = 1365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1365

Therefore, the GCF of Fractions 194/105,400/455 is 2/1365

Least Common Multiple of 105,455 with GCF Formula

Least Common Multiple of 105,455 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 105,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,455) = 35

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

GCF(105,455) x common factors =35 x 1 = 35

LCM(105,455) = ( 105 × 455 ) / 35

LCM(105,455) = 47775 / 35

LCM(105,455) = 1365


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 194/105, 400/455

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 194/105, 400/455?

Answer: GCF of Numerators as per given numbers 194/105, 400/455 is

GCF of Numerators i.e. for 194,400 is 2

LCM of denominators i.e. for 105,455 is 1365.

Thus, GCF of Fractions is 2/1365.Finally, GCF of Fractions for 194/105, 400/455 is 2/1365.