Greatest Common Factor of 828/10, 690/1729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/10, 690/1729

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 828/10,690/1729

Given fractions are 828/10,690/1729

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 828,690

Greatest Common Factor of Numerators i.e. GCF of 828,690 is 138 .

LCM of Denominators means LCM of 10,1729 as per the given fractions.

LCM of 10,1729 is 17290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,690

GCF of Fractions 828/10,690/1729 is 138/17290

2 828, 690
3 414, 345
23 138, 115
6, 5

∴ So the GCF of the given numbers is 2 x 3 x 23 = 138

Greatest Common Factor of 828,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,690 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

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 828,690 . The biggest common factor number is the GCF number.
So the greatest common factor 828,690 is 138.

Lets's calculate LCM of 10,1729

Given numbers has no common factors except 1. So, there LCM is their product i.e 17290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/17290

Therefore, the GCF of Fractions 828/10,690/1729 is 138/17290

Least Common Multiple of 10,1729 with GCF Formula

Least Common Multiple of 10,1729 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 10,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,1729) = 1

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

GCF(10,1729) x common factors =1 x 1 = 1

LCM(10,1729) = ( 10 × 1729 ) / 1

LCM(10,1729) = 17290 / 1

LCM(10,1729) = 17290


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 828/10, 690/1729

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 828/10, 690/1729?

Answer: GCF of Numerators as per given numbers 828/10, 690/1729 is

GCF of Numerators i.e. for 828,690 is 138

LCM of denominators i.e. for 10,1729 is 17290.

Thus, GCF of Fractions is 138/17290.Finally, GCF of Fractions for 828/10, 690/1729 is 138/17290.