Greatest Common Factor of 85/75, 83/38, 69/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/75, 83/38, 69/421

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 85/75,83/38,69/421

Given fractions are 85/75,83/38,69/421

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 85,83,69

Greatest Common Factor of Numerators i.e. GCF of 85,83,69 is 1 .

LCM of Denominators means LCM of 75,38,421 as per the given fractions.

LCM of 75,38,421 is 1199850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,83,69

GCF of Fractions 85/75,83/38,69/421 is 1/1199850

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

Greatest Common Factor of 85,83,69 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,83,69 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Greatest Common Factor

We found the factors 85,83,69 . The biggest common factor number is the GCF number.
So the greatest common factor 85,83,69 is 1.

Lets's calculate LCM of 75,38,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 1199850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1199850

Therefore, the GCF of Fractions 85/75,83/38,69/421 is 1/1199850

Least Common Multiple of 75,38,421 with GCF Formula

Least Common Multiple of 75,38,421 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 75,38,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,38,421) = 1

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

GCF(75,38,421) x common factors =1 x 1 = 1

LCM(75,38,421) = ( 75 × 38 × 421 ) / 1

LCM(75,38,421) = 1199850 / 1

LCM(75,38,421) = 1199850


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 85/75, 83/38, 69/421

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 85/75, 83/38, 69/421?

Answer: GCF of Numerators as per given numbers 85/75, 83/38, 69/421 is

GCF of Numerators i.e. for 85,83,69 is 1

LCM of denominators i.e. for 75,38,421 is 1199850.

Thus, GCF of Fractions is 1/1199850.Finally, GCF of Fractions for 85/75, 83/38, 69/421 is 1/1199850.