Greatest Common Factor of 97/88, 17/269, 720/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/88, 17/269, 720/164

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 97/88,17/269,720/164

Given fractions are 97/88,17/269,720/164

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 97,17,720

Greatest Common Factor of Numerators i.e. GCF of 97,17,720 is 1 .

LCM of Denominators means LCM of 88,269,164 as per the given fractions.

LCM of 88,269,164 is 970552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,17,720

GCF of Fractions 97/88,17/269,720/164 is 1/970552

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

Greatest Common Factor of 97,17,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,17,720 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 97,17,720 . The biggest common factor number is the GCF number.
So the greatest common factor 97,17,720 is 1.

Lets's calculate LCM of 88,269,164

2 88, 269, 164
2 44, 269, 82
22, 269, 41

∴ So the LCM of the given numbers is 2 x 2 x 22 x 269 x 41 = 970552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/970552

Therefore, the GCF of Fractions 97/88,17/269,720/164 is 1/970552

Least Common Multiple of 88,269,164 with GCF Formula

Least Common Multiple of 88,269,164 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 88,269,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,269,164) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,269,164) x common factors =1 x 4 = 4

LCM(88,269,164) = ( 88 × 269 × 164 ) / 4

LCM(88,269,164) = 3882208 / 4

LCM(88,269,164) = 970552


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 97/88, 17/269, 720/164

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 97/88, 17/269, 720/164?

Answer: GCF of Numerators as per given numbers 97/88, 17/269, 720/164 is

GCF of Numerators i.e. for 97,17,720 is 1

LCM of denominators i.e. for 88,269,164 is 970552.

Thus, GCF of Fractions is 1/970552.Finally, GCF of Fractions for 97/88, 17/269, 720/164 is 1/970552.