Greatest Common Factor of 850/409, 958/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/409, 958/430

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 850/409,958/430

Given fractions are 850/409,958/430

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 850,958

Greatest Common Factor of Numerators i.e. GCF of 850,958 is 2 .

LCM of Denominators means LCM of 409,430 as per the given fractions.

LCM of 409,430 is 175870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,958

GCF of Fractions 850/409,958/430 is 2/175870

2 850, 958
425, 479

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

Greatest Common Factor of 850,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,958 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 850,958 . The biggest common factor number is the GCF number.
So the greatest common factor 850,958 is 2.

Lets's calculate LCM of 409,430

Given numbers has no common factors except 1. So, there LCM is their product i.e 175870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175870

Therefore, the GCF of Fractions 850/409,958/430 is 2/175870

Least Common Multiple of 409,430 with GCF Formula

Least Common Multiple of 409,430 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 409,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,430) = 1

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

GCF(409,430) x common factors =1 x 1 = 1

LCM(409,430) = ( 409 × 430 ) / 1

LCM(409,430) = 175870 / 1

LCM(409,430) = 175870


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 850/409, 958/430

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 850/409, 958/430?

Answer: GCF of Numerators as per given numbers 850/409, 958/430 is

GCF of Numerators i.e. for 850,958 is 2

LCM of denominators i.e. for 409,430 is 175870.

Thus, GCF of Fractions is 2/175870.Finally, GCF of Fractions for 850/409, 958/430 is 2/175870.