Greatest Common Factor of 5728/850, 1022/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5728/850, 1022/563

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 5728/850,1022/563

Given fractions are 5728/850,1022/563

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 5728,1022

Greatest Common Factor of Numerators i.e. GCF of 5728,1022 is 2 .

LCM of Denominators means LCM of 850,563 as per the given fractions.

LCM of 850,563 is 478550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5728,1022

GCF of Fractions 5728/850,1022/563 is 2/478550

2 5728, 1022
2864, 511

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

Greatest Common Factor of 5728,1022 By Matching Biggest Common Factor Method

Greatest Common Factor of 5728,1022 By Matching Biggest Common Factor Method

Factors of 5728

List of positive integer factors of 5728 that divides 5728 without a remainder.

1,2,4,8,16,32,179,358,716,1432,2864,5728

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1,2,7,14,73,146,511,1022

Greatest Common Factor

We found the factors 5728,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 5728,1022 is 2.

Lets's calculate LCM of 850,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 478550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/478550

Therefore, the GCF of Fractions 5728/850,1022/563 is 2/478550

Least Common Multiple of 850,563 with GCF Formula

Least Common Multiple of 850,563 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 850,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,563) = 1

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

GCF(850,563) x common factors =1 x 1 = 1

LCM(850,563) = ( 850 × 563 ) / 1

LCM(850,563) = 478550 / 1

LCM(850,563) = 478550


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 5728/850, 1022/563

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 5728/850, 1022/563?

Answer: GCF of Numerators as per given numbers 5728/850, 1022/563 is

GCF of Numerators i.e. for 5728,1022 is 2

LCM of denominators i.e. for 850,563 is 478550.

Thus, GCF of Fractions is 2/478550.Finally, GCF of Fractions for 5728/850, 1022/563 is 2/478550.