Greatest Common Factor of 7020/58, 3619/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7020/58, 3619/480

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 7020/58,3619/480

Given fractions are 7020/58,3619/480

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 7020,3619

Greatest Common Factor of Numerators i.e. GCF of 7020,3619 is 1 .

LCM of Denominators means LCM of 58,480 as per the given fractions.

LCM of 58,480 is 13920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7020,3619

GCF of Fractions 7020/58,3619/480 is 1/13920

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

Greatest Common Factor of 7020,3619 By Matching Biggest Common Factor Method

Greatest Common Factor of 7020,3619 By Matching Biggest Common Factor Method

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Factors of 3619

List of positive integer factors of 3619 that divides 3619 without a remainder.

1,7,11,47,77,329,517,3619

Greatest Common Factor

We found the factors 7020,3619 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,3619 is 1.

Lets's calculate LCM of 58,480

2 58, 480
29, 240

∴ So the LCM of the given numbers is 2 x 29 x 240 = 13920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13920

Therefore, the GCF of Fractions 7020/58,3619/480 is 1/13920

Least Common Multiple of 58,480 with GCF Formula

Least Common Multiple of 58,480 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 58,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,480) = 2

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

GCF(58,480) x common factors =2 x 1 = 2

LCM(58,480) = ( 58 × 480 ) / 2

LCM(58,480) = 27840 / 2

LCM(58,480) = 13920


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 7020/58, 3619/480

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 7020/58, 3619/480?

Answer: GCF of Numerators as per given numbers 7020/58, 3619/480 is

GCF of Numerators i.e. for 7020,3619 is 1

LCM of denominators i.e. for 58,480 is 13920.

Thus, GCF of Fractions is 1/13920.Finally, GCF of Fractions for 7020/58, 3619/480 is 1/13920.