Greatest Common Factor of 688/39, 190/97, 720/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/39, 190/97, 720/70

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 688/39,190/97,720/70

Given fractions are 688/39,190/97,720/70

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 688,190,720

Greatest Common Factor of Numerators i.e. GCF of 688,190,720 is 2 .

LCM of Denominators means LCM of 39,97,70 as per the given fractions.

LCM of 39,97,70 is 264810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,190,720

GCF of Fractions 688/39,190/97,720/70 is 2/264810

2 688, 190, 720
344, 95, 360

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

Greatest Common Factor of 688,190,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,190,720 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

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 688,190,720 . The biggest common factor number is the GCF number.
So the greatest common factor 688,190,720 is 2.

Lets's calculate LCM of 39,97,70

Given numbers has no common factors except 1. So, there LCM is their product i.e 264810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264810

Therefore, the GCF of Fractions 688/39,190/97,720/70 is 2/264810

Least Common Multiple of 39,97,70 with GCF Formula

Least Common Multiple of 39,97,70 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 39,97,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,97,70) = 1

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

GCF(39,97,70) x common factors =1 x 1 = 1

LCM(39,97,70) = ( 39 × 97 × 70 ) / 1

LCM(39,97,70) = 264810 / 1

LCM(39,97,70) = 264810


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 688/39, 190/97, 720/70

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 688/39, 190/97, 720/70?

Answer: GCF of Numerators as per given numbers 688/39, 190/97, 720/70 is

GCF of Numerators i.e. for 688,190,720 is 2

LCM of denominators i.e. for 39,97,70 is 264810.

Thus, GCF of Fractions is 2/264810.Finally, GCF of Fractions for 688/39, 190/97, 720/70 is 2/264810.