Greatest Common Factor of 67/97, 411/11, 744/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/97, 411/11, 744/754

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 67/97,411/11,744/754

Given fractions are 67/97,411/11,744/754

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 67,411,744

Greatest Common Factor of Numerators i.e. GCF of 67,411,744 is 1 .

LCM of Denominators means LCM of 97,11,754 as per the given fractions.

LCM of 97,11,754 is 804518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,411,744

GCF of Fractions 67/97,411/11,744/754 is 1/804518

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

Greatest Common Factor of 67,411,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,411,744 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 67,411,744 . The biggest common factor number is the GCF number.
So the greatest common factor 67,411,744 is 1.

Lets's calculate LCM of 97,11,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 804518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804518

Therefore, the GCF of Fractions 67/97,411/11,744/754 is 1/804518

Least Common Multiple of 97,11,754 with GCF Formula

Least Common Multiple of 97,11,754 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 97,11,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,11,754) = 1

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

GCF(97,11,754) x common factors =1 x 1 = 1

LCM(97,11,754) = ( 97 × 11 × 754 ) / 1

LCM(97,11,754) = 804518 / 1

LCM(97,11,754) = 804518


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 67/97, 411/11, 744/754

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 67/97, 411/11, 744/754?

Answer: GCF of Numerators as per given numbers 67/97, 411/11, 744/754 is

GCF of Numerators i.e. for 67,411,744 is 1

LCM of denominators i.e. for 97,11,754 is 804518.

Thus, GCF of Fractions is 1/804518.Finally, GCF of Fractions for 67/97, 411/11, 744/754 is 1/804518.