Greatest Common Factor of 264/380, 5280/4964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/380, 5280/4964

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 264/380,5280/4964

Given fractions are 264/380,5280/4964

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 264,5280

Greatest Common Factor of Numerators i.e. GCF of 264,5280 is 264 .

LCM of Denominators means LCM of 380,4964 as per the given fractions.

LCM of 380,4964 is 471580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,5280

GCF of Fractions 264/380,5280/4964 is 264/471580

2 264, 5280
2 132, 2640
2 66, 1320
3 33, 660
11 11, 220
1, 20

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 11 = 264

Greatest Common Factor of 264,5280 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,5280 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280

Greatest Common Factor

We found the factors 264,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 264,5280 is 264.

Lets's calculate LCM of 380,4964

2 380, 4964
2 190, 2482
95, 1241

∴ So the LCM of the given numbers is 2 x 2 x 95 x 1241 = 471580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 264/471580

Therefore, the GCF of Fractions 264/380,5280/4964 is 264/471580

Least Common Multiple of 380,4964 with GCF Formula

Least Common Multiple of 380,4964 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 380,4964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,4964) = 4

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

GCF(380,4964) x common factors =4 x 1 = 4

LCM(380,4964) = ( 380 × 4964 ) / 4

LCM(380,4964) = 1886320 / 4

LCM(380,4964) = 471580


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 264/380, 5280/4964

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 264/380, 5280/4964?

Answer: GCF of Numerators as per given numbers 264/380, 5280/4964 is

GCF of Numerators i.e. for 264,5280 is 264

LCM of denominators i.e. for 380,4964 is 471580.

Thus, GCF of Fractions is 264/471580.Finally, GCF of Fractions for 264/380, 5280/4964 is 264/471580.