Greatest Common Factor of 827/97, 754/65, 586/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/97, 754/65, 586/758

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 827/97,754/65,586/758

Given fractions are 827/97,754/65,586/758

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 827,754,586

Greatest Common Factor of Numerators i.e. GCF of 827,754,586 is 1 .

LCM of Denominators means LCM of 97,65,758 as per the given fractions.

LCM of 97,65,758 is 4779190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,754,586

GCF of Fractions 827/97,754/65,586/758 is 1/4779190

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

Greatest Common Factor of 827,754,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,754,586 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 827,754,586 . The biggest common factor number is the GCF number.
So the greatest common factor 827,754,586 is 1.

Lets's calculate LCM of 97,65,758

Given numbers has no common factors except 1. So, there LCM is their product i.e 4779190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4779190

Therefore, the GCF of Fractions 827/97,754/65,586/758 is 1/4779190

Least Common Multiple of 97,65,758 with GCF Formula

Least Common Multiple of 97,65,758 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 97,65,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,65,758) = 1

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

GCF(97,65,758) x common factors =1 x 1 = 1

LCM(97,65,758) = ( 97 × 65 × 758 ) / 1

LCM(97,65,758) = 4779190 / 1

LCM(97,65,758) = 4779190


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 827/97, 754/65, 586/758

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 827/97, 754/65, 586/758?

Answer: GCF of Numerators as per given numbers 827/97, 754/65, 586/758 is

GCF of Numerators i.e. for 827,754,586 is 1

LCM of denominators i.e. for 97,65,758 is 4779190.

Thus, GCF of Fractions is 1/4779190.Finally, GCF of Fractions for 827/97, 754/65, 586/758 is 1/4779190.