Greatest Common Factor of 68/80, 89/69, 640/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/80, 89/69, 640/671

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 68/80,89/69,640/671

Given fractions are 68/80,89/69,640/671

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 68,89,640

Greatest Common Factor of Numerators i.e. GCF of 68,89,640 is 1 .

LCM of Denominators means LCM of 80,69,671 as per the given fractions.

LCM of 80,69,671 is 3703920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,89,640

GCF of Fractions 68/80,89/69,640/671 is 1/3703920

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

Greatest Common Factor of 68,89,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,89,640 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 68,89,640 . The biggest common factor number is the GCF number.
So the greatest common factor 68,89,640 is 1.

Lets's calculate LCM of 80,69,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 3703920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3703920

Therefore, the GCF of Fractions 68/80,89/69,640/671 is 1/3703920

Least Common Multiple of 80,69,671 with GCF Formula

Least Common Multiple of 80,69,671 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 80,69,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,69,671) = 1

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

GCF(80,69,671) x common factors =1 x 1 = 1

LCM(80,69,671) = ( 80 × 69 × 671 ) / 1

LCM(80,69,671) = 3703920 / 1

LCM(80,69,671) = 3703920


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 68/80, 89/69, 640/671

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 68/80, 89/69, 640/671?

Answer: GCF of Numerators as per given numbers 68/80, 89/69, 640/671 is

GCF of Numerators i.e. for 68,89,640 is 1

LCM of denominators i.e. for 80,69,671 is 3703920.

Thus, GCF of Fractions is 1/3703920.Finally, GCF of Fractions for 68/80, 89/69, 640/671 is 1/3703920.