Greatest Common Factor of 851/979, 184/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/979, 184/466

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 851/979,184/466

Given fractions are 851/979,184/466

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 851,184

Greatest Common Factor of Numerators i.e. GCF of 851,184 is 23 .

LCM of Denominators means LCM of 979,466 as per the given fractions.

LCM of 979,466 is 456214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,184

GCF of Fractions 851/979,184/466 is 23/456214

23 851, 184
37, 8

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 851,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,184 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 851,184 . The biggest common factor number is the GCF number.
So the greatest common factor 851,184 is 23.

Lets's calculate LCM of 979,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 456214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/456214

Therefore, the GCF of Fractions 851/979,184/466 is 23/456214

Least Common Multiple of 979,466 with GCF Formula

Least Common Multiple of 979,466 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 979,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,466) = 1

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

GCF(979,466) x common factors =1 x 1 = 1

LCM(979,466) = ( 979 × 466 ) / 1

LCM(979,466) = 456214 / 1

LCM(979,466) = 456214


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 851/979, 184/466

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 851/979, 184/466?

Answer: GCF of Numerators as per given numbers 851/979, 184/466 is

GCF of Numerators i.e. for 851,184 is 23

LCM of denominators i.e. for 979,466 is 456214.

Thus, GCF of Fractions is 23/456214.Finally, GCF of Fractions for 851/979, 184/466 is 23/456214.