Greatest Common Factor of 7235/439, 7820/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7235/439, 7820/409

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 7235/439,7820/409

Given fractions are 7235/439,7820/409

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 7235,7820

Greatest Common Factor of Numerators i.e. GCF of 7235,7820 is 5 .

LCM of Denominators means LCM of 439,409 as per the given fractions.

LCM of 439,409 is 179551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7235,7820

GCF of Fractions 7235/439,7820/409 is 5/179551

5 7235, 7820
1447, 1564

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7235,7820 By Matching Biggest Common Factor Method

Greatest Common Factor of 7235,7820 By Matching Biggest Common Factor Method

Factors of 7235

List of positive integer factors of 7235 that divides 7235 without a remainder.

1,5,1447,7235

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820

Greatest Common Factor

We found the factors 7235,7820 . The biggest common factor number is the GCF number.
So the greatest common factor 7235,7820 is 5.

Lets's calculate LCM of 439,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 179551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/179551

Therefore, the GCF of Fractions 7235/439,7820/409 is 5/179551

Least Common Multiple of 439,409 with GCF Formula

Least Common Multiple of 439,409 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 439,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,409) = 1

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

GCF(439,409) x common factors =1 x 1 = 1

LCM(439,409) = ( 439 × 409 ) / 1

LCM(439,409) = 179551 / 1

LCM(439,409) = 179551


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 7235/439, 7820/409

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 7235/439, 7820/409?

Answer: GCF of Numerators as per given numbers 7235/439, 7820/409 is

GCF of Numerators i.e. for 7235,7820 is 5

LCM of denominators i.e. for 439,409 is 179551.

Thus, GCF of Fractions is 5/179551.Finally, GCF of Fractions for 7235/439, 7820/409 is 5/179551.