Greatest Common Factor of 846/174, 772/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 846/174, 772/214

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 846/174,772/214

Given fractions are 846/174,772/214

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 846,772

Greatest Common Factor of Numerators i.e. GCF of 846,772 is 2 .

LCM of Denominators means LCM of 174,214 as per the given fractions.

LCM of 174,214 is 18618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 846,772

GCF of Fractions 846/174,772/214 is 2/18618

2 846, 772
423, 386

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

Greatest Common Factor of 846,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,772 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 846,772 . The biggest common factor number is the GCF number.
So the greatest common factor 846,772 is 2.

Lets's calculate LCM of 174,214

2 174, 214
87, 107

∴ So the LCM of the given numbers is 2 x 87 x 107 = 18618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18618

Therefore, the GCF of Fractions 846/174,772/214 is 2/18618

Least Common Multiple of 174,214 with GCF Formula

Least Common Multiple of 174,214 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 174,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,214) = 2

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

GCF(174,214) x common factors =2 x 1 = 2

LCM(174,214) = ( 174 × 214 ) / 2

LCM(174,214) = 37236 / 2

LCM(174,214) = 18618


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 846/174, 772/214

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 846/174, 772/214?

Answer: GCF of Numerators as per given numbers 846/174, 772/214 is

GCF of Numerators i.e. for 846,772 is 2

LCM of denominators i.e. for 174,214 is 18618.

Thus, GCF of Fractions is 2/18618.Finally, GCF of Fractions for 846/174, 772/214 is 2/18618.