Greatest Common Factor of 5716/269, 8470/8510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5716/269, 8470/8510

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 5716/269,8470/8510

Given fractions are 5716/269,8470/8510

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 5716,8470

Greatest Common Factor of Numerators i.e. GCF of 5716,8470 is 2 .

LCM of Denominators means LCM of 269,8510 as per the given fractions.

LCM of 269,8510 is 2289190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5716,8470

GCF of Fractions 5716/269,8470/8510 is 2/2289190

2 5716, 8470
2858, 4235

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

Greatest Common Factor of 5716,8470 By Matching Biggest Common Factor Method

Greatest Common Factor of 5716,8470 By Matching Biggest Common Factor Method

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470

Greatest Common Factor

We found the factors 5716,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 5716,8470 is 2.

Lets's calculate LCM of 269,8510

Given numbers has no common factors except 1. So, there LCM is their product i.e 2289190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2289190

Therefore, the GCF of Fractions 5716/269,8470/8510 is 2/2289190

Least Common Multiple of 269,8510 with GCF Formula

Least Common Multiple of 269,8510 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 269,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,8510) = 1

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

GCF(269,8510) x common factors =1 x 1 = 1

LCM(269,8510) = ( 269 × 8510 ) / 1

LCM(269,8510) = 2289190 / 1

LCM(269,8510) = 2289190


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 5716/269, 8470/8510

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 5716/269, 8470/8510?

Answer: GCF of Numerators as per given numbers 5716/269, 8470/8510 is

GCF of Numerators i.e. for 5716,8470 is 2

LCM of denominators i.e. for 269,8510 is 2289190.

Thus, GCF of Fractions is 2/2289190.Finally, GCF of Fractions for 5716/269, 8470/8510 is 2/2289190.