Greatest Common Factor of 2066/475, 5280/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2066/475, 5280/705

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 2066/475,5280/705

Given fractions are 2066/475,5280/705

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 2066,5280

Greatest Common Factor of Numerators i.e. GCF of 2066,5280 is 2 .

LCM of Denominators means LCM of 475,705 as per the given fractions.

LCM of 475,705 is 66975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2066,5280

GCF of Fractions 2066/475,5280/705 is 2/66975

2 2066, 5280
1033, 2640

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

Greatest Common Factor of 2066,5280 By Matching Biggest Common Factor Method

Greatest Common Factor of 2066,5280 By Matching Biggest Common Factor Method

Factors of 2066

List of positive integer factors of 2066 that divides 2066 without a remainder.

1,2,1033,2066

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 2066,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 2066,5280 is 2.

Lets's calculate LCM of 475,705

5 475, 705
95, 141

∴ So the LCM of the given numbers is 5 x 95 x 141 = 66975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66975

Therefore, the GCF of Fractions 2066/475,5280/705 is 2/66975

Least Common Multiple of 475,705 with GCF Formula

Least Common Multiple of 475,705 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 475,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,705) = 5

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

GCF(475,705) x common factors =5 x 1 = 5

LCM(475,705) = ( 475 × 705 ) / 5

LCM(475,705) = 334875 / 5

LCM(475,705) = 66975


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 2066/475, 5280/705

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 2066/475, 5280/705?

Answer: GCF of Numerators as per given numbers 2066/475, 5280/705 is

GCF of Numerators i.e. for 2066,5280 is 2

LCM of denominators i.e. for 475,705 is 66975.

Thus, GCF of Fractions is 2/66975.Finally, GCF of Fractions for 2066/475, 5280/705 is 2/66975.