Greatest Common Factor of 1450/916, 8350/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1450/916, 8350/319

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 1450/916,8350/319

Given fractions are 1450/916,8350/319

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 1450,8350

Greatest Common Factor of Numerators i.e. GCF of 1450,8350 is 50 .

LCM of Denominators means LCM of 916,319 as per the given fractions.

LCM of 916,319 is 292204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1450,8350

GCF of Fractions 1450/916,8350/319 is 50/292204

2 1450, 8350
5 725, 4175
5 145, 835
29, 167

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 1450,8350 By Matching Biggest Common Factor Method

Greatest Common Factor of 1450,8350 By Matching Biggest Common Factor Method

Factors of 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1,2,5,10,25,29,50,58,145,290,725,1450

Factors of 8350

List of positive integer factors of 8350 that divides 8350 without a remainder.

1,2,5,10,25,50,167,334,835,1670,4175,8350

Greatest Common Factor

We found the factors 1450,8350 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,8350 is 50.

Lets's calculate LCM of 916,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 292204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/292204

Therefore, the GCF of Fractions 1450/916,8350/319 is 50/292204

Least Common Multiple of 916,319 with GCF Formula

Least Common Multiple of 916,319 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 916,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,319) = 1

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

GCF(916,319) x common factors =1 x 1 = 1

LCM(916,319) = ( 916 × 319 ) / 1

LCM(916,319) = 292204 / 1

LCM(916,319) = 292204


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 1450/916, 8350/319

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 1450/916, 8350/319?

Answer: GCF of Numerators as per given numbers 1450/916, 8350/319 is

GCF of Numerators i.e. for 1450,8350 is 50

LCM of denominators i.e. for 916,319 is 292204.

Thus, GCF of Fractions is 50/292204.Finally, GCF of Fractions for 1450/916, 8350/319 is 50/292204.