Greatest Common Factor of 9029/385, 1800/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9029/385, 1800/914

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 9029/385,1800/914

Given fractions are 9029/385,1800/914

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 9029,1800

Greatest Common Factor of Numerators i.e. GCF of 9029,1800 is 1 .

LCM of Denominators means LCM of 385,914 as per the given fractions.

LCM of 385,914 is 351890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9029,1800

GCF of Fractions 9029/385,1800/914 is 1/351890

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

Greatest Common Factor of 9029,1800 By Matching Biggest Common Factor Method

Greatest Common Factor of 9029,1800 By Matching Biggest Common Factor Method

Factors of 9029

List of positive integer factors of 9029 that divides 9029 without a remainder.

1,9029

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Greatest Common Factor

We found the factors 9029,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 9029,1800 is 1.

Lets's calculate LCM of 385,914

Given numbers has no common factors except 1. So, there LCM is their product i.e 351890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351890

Therefore, the GCF of Fractions 9029/385,1800/914 is 1/351890

Least Common Multiple of 385,914 with GCF Formula

Least Common Multiple of 385,914 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 385,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,914) = 1

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

GCF(385,914) x common factors =1 x 1 = 1

LCM(385,914) = ( 385 × 914 ) / 1

LCM(385,914) = 351890 / 1

LCM(385,914) = 351890


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 9029/385, 1800/914

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 9029/385, 1800/914?

Answer: GCF of Numerators as per given numbers 9029/385, 1800/914 is

GCF of Numerators i.e. for 9029,1800 is 1

LCM of denominators i.e. for 385,914 is 351890.

Thus, GCF of Fractions is 1/351890.Finally, GCF of Fractions for 9029/385, 1800/914 is 1/351890.