Greatest Common Factor of 4148/46, 7084/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4148/46, 7084/505

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 4148/46,7084/505

Given fractions are 4148/46,7084/505

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 4148,7084

Greatest Common Factor of Numerators i.e. GCF of 4148,7084 is 4 .

LCM of Denominators means LCM of 46,505 as per the given fractions.

LCM of 46,505 is 23230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4148,7084

GCF of Fractions 4148/46,7084/505 is 4/23230

2 4148, 7084
2 2074, 3542
1037, 1771

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4148,7084 By Matching Biggest Common Factor Method

Greatest Common Factor of 4148,7084 By Matching Biggest Common Factor Method

Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1,2,4,17,34,61,68,122,244,1037,2074,4148

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors 4148,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 4148,7084 is 4.

Lets's calculate LCM of 46,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 23230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23230

Therefore, the GCF of Fractions 4148/46,7084/505 is 4/23230

Least Common Multiple of 46,505 with GCF Formula

Least Common Multiple of 46,505 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 46,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,505) = 1

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

GCF(46,505) x common factors =1 x 1 = 1

LCM(46,505) = ( 46 × 505 ) / 1

LCM(46,505) = 23230 / 1

LCM(46,505) = 23230


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 4148/46, 7084/505

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 4148/46, 7084/505?

Answer: GCF of Numerators as per given numbers 4148/46, 7084/505 is

GCF of Numerators i.e. for 4148,7084 is 4

LCM of denominators i.e. for 46,505 is 23230.

Thus, GCF of Fractions is 4/23230.Finally, GCF of Fractions for 4148/46, 7084/505 is 4/23230.