Greatest Common Factor of 80/508, 17/681, 777/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/508, 17/681, 777/449

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 80/508,17/681,777/449

Given fractions are 80/508,17/681,777/449

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 80,17,777

Greatest Common Factor of Numerators i.e. GCF of 80,17,777 is 1 .

LCM of Denominators means LCM of 508,681,449 as per the given fractions.

LCM of 508,681,449 is 155330652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,17,777

GCF of Fractions 80/508,17/681,777/449 is 1/155330652

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

Greatest Common Factor of 80,17,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,17,777 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 17

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

1,17

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 80,17,777 . The biggest common factor number is the GCF number.
So the greatest common factor 80,17,777 is 1.

Lets's calculate LCM of 508,681,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 155330652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155330652

Therefore, the GCF of Fractions 80/508,17/681,777/449 is 1/155330652

Least Common Multiple of 508,681,449 with GCF Formula

Least Common Multiple of 508,681,449 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 508,681,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,681,449) = 1

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

GCF(508,681,449) x common factors =1 x 1 = 1

LCM(508,681,449) = ( 508 × 681 × 449 ) / 1

LCM(508,681,449) = 155330652 / 1

LCM(508,681,449) = 155330652


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 80/508, 17/681, 777/449

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 80/508, 17/681, 777/449?

Answer: GCF of Numerators as per given numbers 80/508, 17/681, 777/449 is

GCF of Numerators i.e. for 80,17,777 is 1

LCM of denominators i.e. for 508,681,449 is 155330652.

Thus, GCF of Fractions is 1/155330652.Finally, GCF of Fractions for 80/508, 17/681, 777/449 is 1/155330652.