Greatest Common Factor of 8008/86, 8584/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8008/86, 8584/695

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 8008/86,8584/695

Given fractions are 8008/86,8584/695

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 8008,8584

Greatest Common Factor of Numerators i.e. GCF of 8008,8584 is 8 .

LCM of Denominators means LCM of 86,695 as per the given fractions.

LCM of 86,695 is 59770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8008,8584

GCF of Fractions 8008/86,8584/695 is 8/59770

2 8008, 8584
2 4004, 4292
2 2002, 2146
1001, 1073

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8008,8584 By Matching Biggest Common Factor Method

Greatest Common Factor of 8008,8584 By Matching Biggest Common Factor Method

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Greatest Common Factor

We found the factors 8008,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 8008,8584 is 8.

Lets's calculate LCM of 86,695

Given numbers has no common factors except 1. So, there LCM is their product i.e 59770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/59770

Therefore, the GCF of Fractions 8008/86,8584/695 is 8/59770

Least Common Multiple of 86,695 with GCF Formula

Least Common Multiple of 86,695 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 86,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,695) = 1

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

GCF(86,695) x common factors =1 x 1 = 1

LCM(86,695) = ( 86 × 695 ) / 1

LCM(86,695) = 59770 / 1

LCM(86,695) = 59770


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 8008/86, 8584/695

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 8008/86, 8584/695?

Answer: GCF of Numerators as per given numbers 8008/86, 8584/695 is

GCF of Numerators i.e. for 8008,8584 is 8

LCM of denominators i.e. for 86,695 is 59770.

Thus, GCF of Fractions is 8/59770.Finally, GCF of Fractions for 8008/86, 8584/695 is 8/59770.