Greatest Common Factor of 662/17, 480/22, 841/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 662/17, 480/22, 841/980

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 662/17,480/22,841/980

Given fractions are 662/17,480/22,841/980

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 662,480,841

Greatest Common Factor of Numerators i.e. GCF of 662,480,841 is 1 .

LCM of Denominators means LCM of 17,22,980 as per the given fractions.

LCM of 17,22,980 is 183260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 662,480,841

GCF of Fractions 662/17,480/22,841/980 is 1/183260

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 662,480,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,480,841 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 662,480,841 . The biggest common factor number is the GCF number.
So the greatest common factor 662,480,841 is 1.

Lets's calculate LCM of 17,22,980

2 17, 22, 980
17, 11, 490

∴ So the LCM of the given numbers is 2 x 17 x 11 x 490 = 183260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183260

Therefore, the GCF of Fractions 662/17,480/22,841/980 is 1/183260

Least Common Multiple of 17,22,980 with GCF Formula

Least Common Multiple of 17,22,980 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 17,22,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,22,980) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,22,980) x common factors =1 x 2 = 2

LCM(17,22,980) = ( 17 × 22 × 980 ) / 2

LCM(17,22,980) = 366520 / 2

LCM(17,22,980) = 183260


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 662/17, 480/22, 841/980

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 662/17, 480/22, 841/980?

Answer: GCF of Numerators as per given numbers 662/17, 480/22, 841/980 is

GCF of Numerators i.e. for 662,480,841 is 1

LCM of denominators i.e. for 17,22,980 is 183260.

Thus, GCF of Fractions is 1/183260.Finally, GCF of Fractions for 662/17, 480/22, 841/980 is 1/183260.