Greatest Common Factor of 583/73, 775/85, 255/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/73, 775/85, 255/776

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 583/73,775/85,255/776

Given fractions are 583/73,775/85,255/776

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 583,775,255

Greatest Common Factor of Numerators i.e. GCF of 583,775,255 is 1 .

LCM of Denominators means LCM of 73,85,776 as per the given fractions.

LCM of 73,85,776 is 4815080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,775,255

GCF of Fractions 583/73,775/85,255/776 is 1/4815080

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

Greatest Common Factor of 583,775,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,775,255 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 583,775,255 . The biggest common factor number is the GCF number.
So the greatest common factor 583,775,255 is 1.

Lets's calculate LCM of 73,85,776

Given numbers has no common factors except 1. So, there LCM is their product i.e 4815080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4815080

Therefore, the GCF of Fractions 583/73,775/85,255/776 is 1/4815080

Least Common Multiple of 73,85,776 with GCF Formula

Least Common Multiple of 73,85,776 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 73,85,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,85,776) = 1

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

GCF(73,85,776) x common factors =1 x 1 = 1

LCM(73,85,776) = ( 73 × 85 × 776 ) / 1

LCM(73,85,776) = 4815080 / 1

LCM(73,85,776) = 4815080


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 583/73, 775/85, 255/776

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 583/73, 775/85, 255/776?

Answer: GCF of Numerators as per given numbers 583/73, 775/85, 255/776 is

GCF of Numerators i.e. for 583,775,255 is 1

LCM of denominators i.e. for 73,85,776 is 4815080.

Thus, GCF of Fractions is 1/4815080.Finally, GCF of Fractions for 583/73, 775/85, 255/776 is 1/4815080.