Greatest Common Factor of 820/7238, 275/2380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/7238, 275/2380

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 820/7238,275/2380

Given fractions are 820/7238,275/2380

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 820,275

Greatest Common Factor of Numerators i.e. GCF of 820,275 is 5 .

LCM of Denominators means LCM of 7238,2380 as per the given fractions.

LCM of 7238,2380 is 1230460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,275

GCF of Fractions 820/7238,275/2380 is 5/1230460

5 820, 275
164, 55

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

Greatest Common Factor of 820,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,275 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 820,275 . The biggest common factor number is the GCF number.
So the greatest common factor 820,275 is 5.

Lets's calculate LCM of 7238,2380

2 7238, 2380
7 3619, 1190
517, 170

∴ So the LCM of the given numbers is 2 x 7 x 517 x 170 = 1230460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1230460

Therefore, the GCF of Fractions 820/7238,275/2380 is 5/1230460

Least Common Multiple of 7238,2380 with GCF Formula

Least Common Multiple of 7238,2380 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 7238,2380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7238,2380) = 14

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

GCF(7238,2380) x common factors =14 x 1 = 14

LCM(7238,2380) = ( 7238 × 2380 ) / 14

LCM(7238,2380) = 17226440 / 14

LCM(7238,2380) = 1230460


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 820/7238, 275/2380

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 820/7238, 275/2380?

Answer: GCF of Numerators as per given numbers 820/7238, 275/2380 is

GCF of Numerators i.e. for 820,275 is 5

LCM of denominators i.e. for 7238,2380 is 1230460.

Thus, GCF of Fractions is 5/1230460.Finally, GCF of Fractions for 820/7238, 275/2380 is 5/1230460.