Greatest Common Factor of 488/69, 4392/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/69, 4392/280

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 488/69,4392/280

Given fractions are 488/69,4392/280

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 488,4392

Greatest Common Factor of Numerators i.e. GCF of 488,4392 is 488 .

LCM of Denominators means LCM of 69,280 as per the given fractions.

LCM of 69,280 is 19320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,4392

GCF of Fractions 488/69,4392/280 is 488/19320

2 488, 4392
2 244, 2196
2 122, 1098
61 61, 549
1, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 61 = 488

Greatest Common Factor of 488,4392 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,4392 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 4392

List of positive integer factors of 4392 that divides 4392 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392

Greatest Common Factor

We found the factors 488,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 488,4392 is 488.

Lets's calculate LCM of 69,280

Given numbers has no common factors except 1. So, there LCM is their product i.e 19320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 488/19320

Therefore, the GCF of Fractions 488/69,4392/280 is 488/19320

Least Common Multiple of 69,280 with GCF Formula

Least Common Multiple of 69,280 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 69,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,280) = 1

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

GCF(69,280) x common factors =1 x 1 = 1

LCM(69,280) = ( 69 × 280 ) / 1

LCM(69,280) = 19320 / 1

LCM(69,280) = 19320


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 488/69, 4392/280

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 488/69, 4392/280?

Answer: GCF of Numerators as per given numbers 488/69, 4392/280 is

GCF of Numerators i.e. for 488,4392 is 488

LCM of denominators i.e. for 69,280 is 19320.

Thus, GCF of Fractions is 488/19320.Finally, GCF of Fractions for 488/69, 4392/280 is 488/19320.