Greatest Common Factor of 810/35, 253/78, 825/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/35, 253/78, 825/14

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 810/35,253/78,825/14

Given fractions are 810/35,253/78,825/14

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 810,253,825

Greatest Common Factor of Numerators i.e. GCF of 810,253,825 is 1 .

LCM of Denominators means LCM of 35,78,14 as per the given fractions.

LCM of 35,78,14 is 2730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,253,825

GCF of Fractions 810/35,253/78,825/14 is 1/2730

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

Greatest Common Factor of 810,253,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,253,825 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 810,253,825 . The biggest common factor number is the GCF number.
So the greatest common factor 810,253,825 is 1.

Lets's calculate LCM of 35,78,14

2 35, 78, 14
7 35, 39, 7
5, 39, 1

∴ So the LCM of the given numbers is 2 x 7 x 5 x 39 x 1 = 2730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2730

Therefore, the GCF of Fractions 810/35,253/78,825/14 is 1/2730

Least Common Multiple of 35,78,14 with GCF Formula

Least Common Multiple of 35,78,14 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 35,78,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,78,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,78,14) x common factors =1 x 14 = 14

LCM(35,78,14) = ( 35 × 78 × 14 ) / 14

LCM(35,78,14) = 38220 / 14

LCM(35,78,14) = 2730


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 810/35, 253/78, 825/14

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 810/35, 253/78, 825/14?

Answer: GCF of Numerators as per given numbers 810/35, 253/78, 825/14 is

GCF of Numerators i.e. for 810,253,825 is 1

LCM of denominators i.e. for 35,78,14 is 2730.

Thus, GCF of Fractions is 1/2730.Finally, GCF of Fractions for 810/35, 253/78, 825/14 is 1/2730.