Greatest Common Factor of 90/29, 61/14, 800/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/29, 61/14, 800/145

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 90/29,61/14,800/145

Given fractions are 90/29,61/14,800/145

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 90,61,800

Greatest Common Factor of Numerators i.e. GCF of 90,61,800 is 1 .

LCM of Denominators means LCM of 29,14,145 as per the given fractions.

LCM of 29,14,145 is 2030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,61,800

GCF of Fractions 90/29,61/14,800/145 is 1/2030

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

Greatest Common Factor of 90,61,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,61,800 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 90,61,800 . The biggest common factor number is the GCF number.
So the greatest common factor 90,61,800 is 1.

Lets's calculate LCM of 29,14,145

29 29, 14, 145
1, 14, 5

∴ So the LCM of the given numbers is 29 x 1 x 14 x 5 = 2030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030

Therefore, the GCF of Fractions 90/29,61/14,800/145 is 1/2030

Least Common Multiple of 29,14,145 with GCF Formula

Least Common Multiple of 29,14,145 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 29,14,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,14,145) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,14,145) x common factors =1 x 29 = 29

LCM(29,14,145) = ( 29 × 14 × 145 ) / 29

LCM(29,14,145) = 58870 / 29

LCM(29,14,145) = 2030


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 90/29, 61/14, 800/145

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 90/29, 61/14, 800/145?

Answer: GCF of Numerators as per given numbers 90/29, 61/14, 800/145 is

GCF of Numerators i.e. for 90,61,800 is 1

LCM of denominators i.e. for 29,14,145 is 2030.

Thus, GCF of Fractions is 1/2030.Finally, GCF of Fractions for 90/29, 61/14, 800/145 is 1/2030.