Greatest Common Factor of 814/174, 850/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/174, 850/298

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 814/174,850/298

Given fractions are 814/174,850/298

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 814,850

Greatest Common Factor of Numerators i.e. GCF of 814,850 is 2 .

LCM of Denominators means LCM of 174,298 as per the given fractions.

LCM of 174,298 is 25926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,850

GCF of Fractions 814/174,850/298 is 2/25926

2 814, 850
407, 425

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

Greatest Common Factor of 814,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,850 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

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

Greatest Common Factor

We found the factors 814,850 . The biggest common factor number is the GCF number.
So the greatest common factor 814,850 is 2.

Lets's calculate LCM of 174,298

2 174, 298
87, 149

∴ So the LCM of the given numbers is 2 x 87 x 149 = 25926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25926

Therefore, the GCF of Fractions 814/174,850/298 is 2/25926

Least Common Multiple of 174,298 with GCF Formula

Least Common Multiple of 174,298 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 174,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,298) = 2

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

GCF(174,298) x common factors =2 x 1 = 2

LCM(174,298) = ( 174 × 298 ) / 2

LCM(174,298) = 51852 / 2

LCM(174,298) = 25926


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 814/174, 850/298

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 814/174, 850/298?

Answer: GCF of Numerators as per given numbers 814/174, 850/298 is

GCF of Numerators i.e. for 814,850 is 2

LCM of denominators i.e. for 174,298 is 25926.

Thus, GCF of Fractions is 2/25926.Finally, GCF of Fractions for 814/174, 850/298 is 2/25926.