Greatest Common Factor of 7820/49, 4700/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7820/49, 4700/361

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 7820/49,4700/361

Given fractions are 7820/49,4700/361

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 7820,4700

Greatest Common Factor of Numerators i.e. GCF of 7820,4700 is 20 .

LCM of Denominators means LCM of 49,361 as per the given fractions.

LCM of 49,361 is 17689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7820,4700

GCF of Fractions 7820/49,4700/361 is 20/17689

2 7820, 4700
2 3910, 2350
5 1955, 1175
391, 235

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 7820,4700 By Matching Biggest Common Factor Method

Greatest Common Factor of 7820,4700 By Matching Biggest Common Factor Method

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

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700

Greatest Common Factor

We found the factors 7820,4700 . The biggest common factor number is the GCF number.
So the greatest common factor 7820,4700 is 20.

Lets's calculate LCM of 49,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 17689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/17689

Therefore, the GCF of Fractions 7820/49,4700/361 is 20/17689

Least Common Multiple of 49,361 with GCF Formula

Least Common Multiple of 49,361 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 49,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,361) = 1

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

GCF(49,361) x common factors =1 x 1 = 1

LCM(49,361) = ( 49 × 361 ) / 1

LCM(49,361) = 17689 / 1

LCM(49,361) = 17689


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 7820/49, 4700/361

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 7820/49, 4700/361?

Answer: GCF of Numerators as per given numbers 7820/49, 4700/361 is

GCF of Numerators i.e. for 7820,4700 is 20

LCM of denominators i.e. for 49,361 is 17689.

Thus, GCF of Fractions is 20/17689.Finally, GCF of Fractions for 7820/49, 4700/361 is 20/17689.