Greatest Common Factor of 5024/708, 8483/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5024/708, 8483/977

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 5024/708,8483/977

Given fractions are 5024/708,8483/977

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 5024,8483

Greatest Common Factor of Numerators i.e. GCF of 5024,8483 is 1 .

LCM of Denominators means LCM of 708,977 as per the given fractions.

LCM of 708,977 is 691716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5024,8483

GCF of Fractions 5024/708,8483/977 is 1/691716

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5024,8483 By Matching Biggest Common Factor Method

Greatest Common Factor of 5024,8483 By Matching Biggest Common Factor Method

Factors of 5024

List of positive integer factors of 5024 that divides 5024 without a remainder.

1,2,4,8,16,32,157,314,628,1256,2512,5024

Factors of 8483

List of positive integer factors of 8483 that divides 8483 without a remainder.

1,17,499,8483

Greatest Common Factor

We found the factors 5024,8483 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,8483 is 1.

Lets's calculate LCM of 708,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 691716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/691716

Therefore, the GCF of Fractions 5024/708,8483/977 is 1/691716

Least Common Multiple of 708,977 with GCF Formula

Least Common Multiple of 708,977 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 708,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,977) = 1

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

GCF(708,977) x common factors =1 x 1 = 1

LCM(708,977) = ( 708 × 977 ) / 1

LCM(708,977) = 691716 / 1

LCM(708,977) = 691716


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 5024/708, 8483/977

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 5024/708, 8483/977?

Answer: GCF of Numerators as per given numbers 5024/708, 8483/977 is

GCF of Numerators i.e. for 5024,8483 is 1

LCM of denominators i.e. for 708,977 is 691716.

Thus, GCF of Fractions is 1/691716.Finally, GCF of Fractions for 5024/708, 8483/977 is 1/691716.