Greatest Common Factor of 969/86, 8823/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/86, 8823/239

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 969/86,8823/239

Given fractions are 969/86,8823/239

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 969,8823

Greatest Common Factor of Numerators i.e. GCF of 969,8823 is 51 .

LCM of Denominators means LCM of 86,239 as per the given fractions.

LCM of 86,239 is 20554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,8823

GCF of Fractions 969/86,8823/239 is 51/20554

3 969, 8823
17 323, 2941
19, 173

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 969,8823 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,8823 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1,3,17,51,173,519,2941,8823

Greatest Common Factor

We found the factors 969,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 969,8823 is 51.

Lets's calculate LCM of 86,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 20554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/20554

Therefore, the GCF of Fractions 969/86,8823/239 is 51/20554

Least Common Multiple of 86,239 with GCF Formula

Least Common Multiple of 86,239 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 86,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,239) = 1

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

GCF(86,239) x common factors =1 x 1 = 1

LCM(86,239) = ( 86 × 239 ) / 1

LCM(86,239) = 20554 / 1

LCM(86,239) = 20554


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 969/86, 8823/239

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 969/86, 8823/239?

Answer: GCF of Numerators as per given numbers 969/86, 8823/239 is

GCF of Numerators i.e. for 969,8823 is 51

LCM of denominators i.e. for 86,239 is 20554.

Thus, GCF of Fractions is 51/20554.Finally, GCF of Fractions for 969/86, 8823/239 is 51/20554.