Greatest Common Factor of 4820/29, 2135/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4820/29, 2135/949

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 4820/29,2135/949

Given fractions are 4820/29,2135/949

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 4820,2135

Greatest Common Factor of Numerators i.e. GCF of 4820,2135 is 5 .

LCM of Denominators means LCM of 29,949 as per the given fractions.

LCM of 29,949 is 27521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4820,2135

GCF of Fractions 4820/29,2135/949 is 5/27521

5 4820, 2135
964, 427

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

Greatest Common Factor of 4820,2135 By Matching Biggest Common Factor Method

Greatest Common Factor of 4820,2135 By Matching Biggest Common Factor Method

Factors of 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1,2,4,5,10,20,241,482,964,1205,2410,4820

Factors of 2135

List of positive integer factors of 2135 that divides 2135 without a remainder.

1,5,7,35,61,305,427,2135

Greatest Common Factor

We found the factors 4820,2135 . The biggest common factor number is the GCF number.
So the greatest common factor 4820,2135 is 5.

Lets's calculate LCM of 29,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 27521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27521

Therefore, the GCF of Fractions 4820/29,2135/949 is 5/27521

Least Common Multiple of 29,949 with GCF Formula

Least Common Multiple of 29,949 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 29,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,949) = 1

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

GCF(29,949) x common factors =1 x 1 = 1

LCM(29,949) = ( 29 × 949 ) / 1

LCM(29,949) = 27521 / 1

LCM(29,949) = 27521


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 4820/29, 2135/949

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 4820/29, 2135/949?

Answer: GCF of Numerators as per given numbers 4820/29, 2135/949 is

GCF of Numerators i.e. for 4820,2135 is 5

LCM of denominators i.e. for 29,949 is 27521.

Thus, GCF of Fractions is 5/27521.Finally, GCF of Fractions for 4820/29, 2135/949 is 5/27521.