Greatest Common Factor of 4820/470, 6648/1688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4820/470, 6648/1688

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 4820/470,6648/1688

Given fractions are 4820/470,6648/1688

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 4820,6648

Greatest Common Factor of Numerators i.e. GCF of 4820,6648 is 4 .

LCM of Denominators means LCM of 470,1688 as per the given fractions.

LCM of 470,1688 is 396680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4820,6648

GCF of Fractions 4820/470,6648/1688 is 4/396680

2 4820, 6648
2 2410, 3324
1205, 1662

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

Greatest Common Factor of 4820,6648 By Matching Biggest Common Factor Method

Greatest Common Factor of 4820,6648 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 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648

Greatest Common Factor

We found the factors 4820,6648 . The biggest common factor number is the GCF number.
So the greatest common factor 4820,6648 is 4.

Lets's calculate LCM of 470,1688

2 470, 1688
235, 844

∴ So the LCM of the given numbers is 2 x 235 x 844 = 396680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/396680

Therefore, the GCF of Fractions 4820/470,6648/1688 is 4/396680

Least Common Multiple of 470,1688 with GCF Formula

Least Common Multiple of 470,1688 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 470,1688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,1688) = 2

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

GCF(470,1688) x common factors =2 x 1 = 2

LCM(470,1688) = ( 470 × 1688 ) / 2

LCM(470,1688) = 793360 / 2

LCM(470,1688) = 396680


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 4820/470, 6648/1688

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 4820/470, 6648/1688?

Answer: GCF of Numerators as per given numbers 4820/470, 6648/1688 is

GCF of Numerators i.e. for 4820,6648 is 4

LCM of denominators i.e. for 470,1688 is 396680.

Thus, GCF of Fractions is 4/396680.Finally, GCF of Fractions for 4820/470, 6648/1688 is 4/396680.