Greatest Common Factor of 60/57, 56/562, 776/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/57, 56/562, 776/241

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 60/57,56/562,776/241

Given fractions are 60/57,56/562,776/241

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 60,56,776

Greatest Common Factor of Numerators i.e. GCF of 60,56,776 is 4 .

LCM of Denominators means LCM of 57,562,241 as per the given fractions.

LCM of 57,562,241 is 7720194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,56,776

GCF of Fractions 60/57,56/562,776/241 is 4/7720194

2 60, 56, 776
2 30, 28, 388
15, 14, 194

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 60,56,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,56,776 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 60,56,776 . The biggest common factor number is the GCF number.
So the greatest common factor 60,56,776 is 4.

Lets's calculate LCM of 57,562,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 7720194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7720194

Therefore, the GCF of Fractions 60/57,56/562,776/241 is 4/7720194

Least Common Multiple of 57,562,241 with GCF Formula

Least Common Multiple of 57,562,241 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 57,562,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,562,241) = 1

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

GCF(57,562,241) x common factors =1 x 1 = 1

LCM(57,562,241) = ( 57 × 562 × 241 ) / 1

LCM(57,562,241) = 7720194 / 1

LCM(57,562,241) = 7720194


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 60/57, 56/562, 776/241

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 60/57, 56/562, 776/241?

Answer: GCF of Numerators as per given numbers 60/57, 56/562, 776/241 is

GCF of Numerators i.e. for 60,56,776 is 4

LCM of denominators i.e. for 57,562,241 is 7720194.

Thus, GCF of Fractions is 4/7720194.Finally, GCF of Fractions for 60/57, 56/562, 776/241 is 4/7720194.