Greatest Common Factor of 1060/494, 9777/7792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1060/494, 9777/7792

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 1060/494,9777/7792

Given fractions are 1060/494,9777/7792

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 1060,9777

Greatest Common Factor of Numerators i.e. GCF of 1060,9777 is 1 .

LCM of Denominators means LCM of 494,7792 as per the given fractions.

LCM of 494,7792 is 1924624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1060,9777

GCF of Fractions 1060/494,9777/7792 is 1/1924624

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

Greatest Common Factor of 1060,9777 By Matching Biggest Common Factor Method

Greatest Common Factor of 1060,9777 By Matching Biggest Common Factor Method

Factors of 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1,2,4,5,10,20,53,106,212,265,530,1060

Factors of 9777

List of positive integer factors of 9777 that divides 9777 without a remainder.

1,3,3259,9777

Greatest Common Factor

We found the factors 1060,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 1060,9777 is 1.

Lets's calculate LCM of 494,7792

2 494, 7792
247, 3896

∴ So the LCM of the given numbers is 2 x 247 x 3896 = 1924624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1924624

Therefore, the GCF of Fractions 1060/494,9777/7792 is 1/1924624

Least Common Multiple of 494,7792 with GCF Formula

Least Common Multiple of 494,7792 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 494,7792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,7792) = 2

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

GCF(494,7792) x common factors =2 x 1 = 2

LCM(494,7792) = ( 494 × 7792 ) / 2

LCM(494,7792) = 3849248 / 2

LCM(494,7792) = 1924624


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 1060/494, 9777/7792

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 1060/494, 9777/7792?

Answer: GCF of Numerators as per given numbers 1060/494, 9777/7792 is

GCF of Numerators i.e. for 1060,9777 is 1

LCM of denominators i.e. for 494,7792 is 1924624.

Thus, GCF of Fractions is 1/1924624.Finally, GCF of Fractions for 1060/494, 9777/7792 is 1/1924624.