Greatest Common Factor of 75/697, 493/133, 214/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/697, 493/133, 214/820

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 75/697,493/133,214/820

Given fractions are 75/697,493/133,214/820

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 75,493,214

Greatest Common Factor of Numerators i.e. GCF of 75,493,214 is 1 .

LCM of Denominators means LCM of 697,133,820 as per the given fractions.

LCM of 697,133,820 is 1854020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,493,214

GCF of Fractions 75/697,493/133,214/820 is 1/1854020

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

Greatest Common Factor of 75,493,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,493,214 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 75,493,214 . The biggest common factor number is the GCF number.
So the greatest common factor 75,493,214 is 1.

Lets's calculate LCM of 697,133,820

41 697, 133, 820
17, 133, 20

∴ So the LCM of the given numbers is 41 x 17 x 133 x 20 = 1854020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1854020

Therefore, the GCF of Fractions 75/697,493/133,214/820 is 1/1854020

Least Common Multiple of 697,133,820 with GCF Formula

Least Common Multiple of 697,133,820 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 697,133,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,133,820) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(697,133,820) x common factors =1 x 41 = 41

LCM(697,133,820) = ( 697 × 133 × 820 ) / 41

LCM(697,133,820) = 76014820 / 41

LCM(697,133,820) = 1854020


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 75/697, 493/133, 214/820

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 75/697, 493/133, 214/820?

Answer: GCF of Numerators as per given numbers 75/697, 493/133, 214/820 is

GCF of Numerators i.e. for 75,493,214 is 1

LCM of denominators i.e. for 697,133,820 is 1854020.

Thus, GCF of Fractions is 1/1854020.Finally, GCF of Fractions for 75/697, 493/133, 214/820 is 1/1854020.