Greatest Common Factor of 810/509, 6030/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/509, 6030/726

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 810/509,6030/726

Given fractions are 810/509,6030/726

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 810,6030

Greatest Common Factor of Numerators i.e. GCF of 810,6030 is 90 .

LCM of Denominators means LCM of 509,726 as per the given fractions.

LCM of 509,726 is 369534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,6030

GCF of Fractions 810/509,6030/726 is 90/369534

2 810, 6030
3 405, 3015
3 135, 1005
5 45, 335
9, 67

∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90

Greatest Common Factor of 810,6030 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,6030 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 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030

Greatest Common Factor

We found the factors 810,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 810,6030 is 90.

Lets's calculate LCM of 509,726

Given numbers has no common factors except 1. So, there LCM is their product i.e 369534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/369534

Therefore, the GCF of Fractions 810/509,6030/726 is 90/369534

Least Common Multiple of 509,726 with GCF Formula

Least Common Multiple of 509,726 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 509,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,726) = 1

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

GCF(509,726) x common factors =1 x 1 = 1

LCM(509,726) = ( 509 × 726 ) / 1

LCM(509,726) = 369534 / 1

LCM(509,726) = 369534


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 810/509, 6030/726

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 810/509, 6030/726?

Answer: GCF of Numerators as per given numbers 810/509, 6030/726 is

GCF of Numerators i.e. for 810,6030 is 90

LCM of denominators i.e. for 509,726 is 369534.

Thus, GCF of Fractions is 90/369534.Finally, GCF of Fractions for 810/509, 6030/726 is 90/369534.