Greatest Common Factor of 773/86, 747/91, 569/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 773/86, 747/91, 569/410

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 773/86,747/91,569/410

Given fractions are 773/86,747/91,569/410

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 773,747,569

Greatest Common Factor of Numerators i.e. GCF of 773,747,569 is 1 .

LCM of Denominators means LCM of 86,91,410 as per the given fractions.

LCM of 86,91,410 is 1604330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 773,747,569

GCF of Fractions 773/86,747/91,569/410 is 1/1604330

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

Greatest Common Factor of 773,747,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,747,569 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 773,747,569 . The biggest common factor number is the GCF number.
So the greatest common factor 773,747,569 is 1.

Lets's calculate LCM of 86,91,410

2 86, 91, 410
43, 91, 205

∴ So the LCM of the given numbers is 2 x 43 x 91 x 205 = 1604330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1604330

Therefore, the GCF of Fractions 773/86,747/91,569/410 is 1/1604330

Least Common Multiple of 86,91,410 with GCF Formula

Least Common Multiple of 86,91,410 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 86,91,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,91,410) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,91,410) x common factors =1 x 2 = 2

LCM(86,91,410) = ( 86 × 91 × 410 ) / 2

LCM(86,91,410) = 3208660 / 2

LCM(86,91,410) = 1604330


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 773/86, 747/91, 569/410

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 773/86, 747/91, 569/410?

Answer: GCF of Numerators as per given numbers 773/86, 747/91, 569/410 is

GCF of Numerators i.e. for 773,747,569 is 1

LCM of denominators i.e. for 86,91,410 is 1604330.

Thus, GCF of Fractions is 1/1604330.Finally, GCF of Fractions for 773/86, 747/91, 569/410 is 1/1604330.