Greatest Common Factor of 85/442, 300/975, 690/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/442, 300/975, 690/121

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 85/442,300/975,690/121

Given fractions are 85/442,300/975,690/121

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 85,300,690

Greatest Common Factor of Numerators i.e. GCF of 85,300,690 is 5 .

LCM of Denominators means LCM of 442,975,121 as per the given fractions.

LCM of 442,975,121 is 4011150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,300,690

GCF of Fractions 85/442,300/975,690/121 is 5/4011150

5 85, 300, 690
17, 60, 138

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 85,300,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,300,690 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 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 85,300,690 . The biggest common factor number is the GCF number.
So the greatest common factor 85,300,690 is 5.

Lets's calculate LCM of 442,975,121

13 442, 975, 121
34, 75, 121

∴ So the LCM of the given numbers is 13 x 34 x 75 x 121 = 4011150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4011150

Therefore, the GCF of Fractions 85/442,300/975,690/121 is 5/4011150

Least Common Multiple of 442,975,121 with GCF Formula

Least Common Multiple of 442,975,121 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 442,975,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,975,121) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(442,975,121) x common factors =1 x 13 = 13

LCM(442,975,121) = ( 442 × 975 × 121 ) / 13

LCM(442,975,121) = 52144950 / 13

LCM(442,975,121) = 4011150


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 85/442, 300/975, 690/121

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 85/442, 300/975, 690/121?

Answer: GCF of Numerators as per given numbers 85/442, 300/975, 690/121 is

GCF of Numerators i.e. for 85,300,690 is 5

LCM of denominators i.e. for 442,975,121 is 4011150.

Thus, GCF of Fractions is 5/4011150.Finally, GCF of Fractions for 85/442, 300/975, 690/121 is 5/4011150.