Greatest Common Factor of 1/87, 40/16, 69/209, 737/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/87, 40/16, 69/209, 737/679

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 1/87,40/16,69/209,737/679

Given fractions are 1/87,40/16,69/209,737/679

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 1,40,69,737

Greatest Common Factor of Numerators i.e. GCF of 1,40,69,737 is 1 .

LCM of Denominators means LCM of 87,16,209,679 as per the given fractions.

LCM of 87,16,209,679 is 197540112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,40,69,737

GCF of Fractions 1/87,40/16,69/209,737/679 is 1/197540112

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

Greatest Common Factor of 1,40,69,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,40,69,737 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 1,40,69,737 . The biggest common factor number is the GCF number.
So the greatest common factor 1,40,69,737 is 1.

Lets's calculate LCM of 87,16,209,679

Given numbers has no common factors except 1. So, there LCM is their product i.e 197540112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197540112

Therefore, the GCF of Fractions 1/87,40/16,69/209,737/679 is 1/197540112

Least Common Multiple of 87,16,209,679 with GCF Formula

Least Common Multiple of 87,16,209,679 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 87,16,209,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,16,209,679) = 1

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

GCF(87,16,209,679) x common factors =1 x 1 = 1

LCM(87,16,209,679) = ( 87 × 16 × 209 × 679 ) / 1

LCM(87,16,209,679) = 197540112 / 1

LCM(87,16,209,679) = 197540112


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 1/87, 40/16, 69/209, 737/679

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 1/87, 40/16, 69/209, 737/679?

Answer: GCF of Numerators as per given numbers 1/87, 40/16, 69/209, 737/679 is

GCF of Numerators i.e. for 1,40,69,737 is 1

LCM of denominators i.e. for 87,16,209,679 is 197540112.

Thus, GCF of Fractions is 1/197540112.Finally, GCF of Fractions for 1/87, 40/16, 69/209, 737/679 is 1/197540112.