Greatest Common Factor of 430/997, 905/154, 199/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/997, 905/154, 199/163

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 430/997,905/154,199/163

Given fractions are 430/997,905/154,199/163

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 430,905,199

Greatest Common Factor of Numerators i.e. GCF of 430,905,199 is 1 .

LCM of Denominators means LCM of 997,154,163 as per the given fractions.

LCM of 997,154,163 is 25026694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,905,199

GCF of Fractions 430/997,905/154,199/163 is 1/25026694

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

Greatest Common Factor of 430,905,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,905,199 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 430,905,199 . The biggest common factor number is the GCF number.
So the greatest common factor 430,905,199 is 1.

Lets's calculate LCM of 997,154,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 25026694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25026694

Therefore, the GCF of Fractions 430/997,905/154,199/163 is 1/25026694

Least Common Multiple of 997,154,163 with GCF Formula

Least Common Multiple of 997,154,163 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 997,154,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,154,163) = 1

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

GCF(997,154,163) x common factors =1 x 1 = 1

LCM(997,154,163) = ( 997 × 154 × 163 ) / 1

LCM(997,154,163) = 25026694 / 1

LCM(997,154,163) = 25026694


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 430/997, 905/154, 199/163

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 430/997, 905/154, 199/163?

Answer: GCF of Numerators as per given numbers 430/997, 905/154, 199/163 is

GCF of Numerators i.e. for 430,905,199 is 1

LCM of denominators i.e. for 997,154,163 is 25026694.

Thus, GCF of Fractions is 1/25026694.Finally, GCF of Fractions for 430/997, 905/154, 199/163 is 1/25026694.