Greatest Common Factor of 74/69, 49/17, 974/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/69, 49/17, 974/499

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 74/69,49/17,974/499

Given fractions are 74/69,49/17,974/499

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 74,49,974

Greatest Common Factor of Numerators i.e. GCF of 74,49,974 is 1 .

LCM of Denominators means LCM of 69,17,499 as per the given fractions.

LCM of 69,17,499 is 585327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,49,974

GCF of Fractions 74/69,49/17,974/499 is 1/585327

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

Greatest Common Factor of 74,49,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,49,974 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 74,49,974 . The biggest common factor number is the GCF number.
So the greatest common factor 74,49,974 is 1.

Lets's calculate LCM of 69,17,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 585327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585327

Therefore, the GCF of Fractions 74/69,49/17,974/499 is 1/585327

Least Common Multiple of 69,17,499 with GCF Formula

Least Common Multiple of 69,17,499 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 69,17,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,17,499) = 1

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

GCF(69,17,499) x common factors =1 x 1 = 1

LCM(69,17,499) = ( 69 × 17 × 499 ) / 1

LCM(69,17,499) = 585327 / 1

LCM(69,17,499) = 585327


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 74/69, 49/17, 974/499

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 74/69, 49/17, 974/499?

Answer: GCF of Numerators as per given numbers 74/69, 49/17, 974/499 is

GCF of Numerators i.e. for 74,49,974 is 1

LCM of denominators i.e. for 69,17,499 is 585327.

Thus, GCF of Fractions is 1/585327.Finally, GCF of Fractions for 74/69, 49/17, 974/499 is 1/585327.