Greatest Common Factor of 4420/486, 8764/3029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4420/486, 8764/3029

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 4420/486,8764/3029

Given fractions are 4420/486,8764/3029

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 4420,8764

Greatest Common Factor of Numerators i.e. GCF of 4420,8764 is 4 .

LCM of Denominators means LCM of 486,3029 as per the given fractions.

LCM of 486,3029 is 1472094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4420,8764

GCF of Fractions 4420/486,8764/3029 is 4/1472094

2 4420, 8764
2 2210, 4382
1105, 2191

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

Greatest Common Factor of 4420,8764 By Matching Biggest Common Factor Method

Greatest Common Factor of 4420,8764 By Matching Biggest Common Factor Method

Factors of 4420

List of positive integer factors of 4420 that divides 4420 without a remainder.

1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors 4420,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 4420,8764 is 4.

Lets's calculate LCM of 486,3029

Given numbers has no common factors except 1. So, there LCM is their product i.e 1472094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1472094

Therefore, the GCF of Fractions 4420/486,8764/3029 is 4/1472094

Least Common Multiple of 486,3029 with GCF Formula

Least Common Multiple of 486,3029 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 486,3029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,3029) = 1

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

GCF(486,3029) x common factors =1 x 1 = 1

LCM(486,3029) = ( 486 × 3029 ) / 1

LCM(486,3029) = 1472094 / 1

LCM(486,3029) = 1472094


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 4420/486, 8764/3029

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 4420/486, 8764/3029?

Answer: GCF of Numerators as per given numbers 4420/486, 8764/3029 is

GCF of Numerators i.e. for 4420,8764 is 4

LCM of denominators i.e. for 486,3029 is 1472094.

Thus, GCF of Fractions is 4/1472094.Finally, GCF of Fractions for 4420/486, 8764/3029 is 4/1472094.