Greatest Common Factor of 264/17, 814/79, 980/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/17, 814/79, 980/990

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 264/17,814/79,980/990

Given fractions are 264/17,814/79,980/990

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 264,814,980

Greatest Common Factor of Numerators i.e. GCF of 264,814,980 is 2 .

LCM of Denominators means LCM of 17,79,990 as per the given fractions.

LCM of 17,79,990 is 1329570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,814,980

GCF of Fractions 264/17,814/79,980/990 is 2/1329570

2 264, 814, 980
132, 407, 490

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

Greatest Common Factor of 264,814,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,814,980 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 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 264,814,980 . The biggest common factor number is the GCF number.
So the greatest common factor 264,814,980 is 2.

Lets's calculate LCM of 17,79,990

Given numbers has no common factors except 1. So, there LCM is their product i.e 1329570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1329570

Therefore, the GCF of Fractions 264/17,814/79,980/990 is 2/1329570

Least Common Multiple of 17,79,990 with GCF Formula

Least Common Multiple of 17,79,990 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 17,79,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,79,990) = 1

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

GCF(17,79,990) x common factors =1 x 1 = 1

LCM(17,79,990) = ( 17 × 79 × 990 ) / 1

LCM(17,79,990) = 1329570 / 1

LCM(17,79,990) = 1329570


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 264/17, 814/79, 980/990

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 264/17, 814/79, 980/990?

Answer: GCF of Numerators as per given numbers 264/17, 814/79, 980/990 is

GCF of Numerators i.e. for 264,814,980 is 2

LCM of denominators i.e. for 17,79,990 is 1329570.

Thus, GCF of Fractions is 2/1329570.Finally, GCF of Fractions for 264/17, 814/79, 980/990 is 2/1329570.