Greatest Common Factor of 900/830, 8775/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 900/830, 8775/682

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 900/830,8775/682

Given fractions are 900/830,8775/682

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 900,8775

Greatest Common Factor of Numerators i.e. GCF of 900,8775 is 225 .

LCM of Denominators means LCM of 830,682 as per the given fractions.

LCM of 830,682 is 283030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 900,8775

GCF of Fractions 900/830,8775/682 is 225/283030

3 900, 8775
3 300, 2925
5 100, 975
5 20, 195
4, 39

∴ So the GCF of the given numbers is 3 x 3 x 5 x 5 = 225

Greatest Common Factor of 900,8775 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,8775 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775

Greatest Common Factor

We found the factors 900,8775 . The biggest common factor number is the GCF number.
So the greatest common factor 900,8775 is 225.

Lets's calculate LCM of 830,682

2 830, 682
415, 341

∴ So the LCM of the given numbers is 2 x 415 x 341 = 283030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 225/283030

Therefore, the GCF of Fractions 900/830,8775/682 is 225/283030

Least Common Multiple of 830,682 with GCF Formula

Least Common Multiple of 830,682 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 830,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,682) = 2

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

GCF(830,682) x common factors =2 x 1 = 2

LCM(830,682) = ( 830 × 682 ) / 2

LCM(830,682) = 566060 / 2

LCM(830,682) = 283030


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 900/830, 8775/682

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 900/830, 8775/682?

Answer: GCF of Numerators as per given numbers 900/830, 8775/682 is

GCF of Numerators i.e. for 900,8775 is 225

LCM of denominators i.e. for 830,682 is 283030.

Thus, GCF of Fractions is 225/283030.Finally, GCF of Fractions for 900/830, 8775/682 is 225/283030.