Greatest Common Factor of 80/24, 616/33, 147/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/24, 616/33, 147/532

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 80/24,616/33,147/532

Given fractions are 80/24,616/33,147/532

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 80,616,147

Greatest Common Factor of Numerators i.e. GCF of 80,616,147 is 1 .

LCM of Denominators means LCM of 24,33,532 as per the given fractions.

LCM of 24,33,532 is 35112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,616,147

GCF of Fractions 80/24,616/33,147/532 is 1/35112

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

Greatest Common Factor of 80,616,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,616,147 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 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 80,616,147 . The biggest common factor number is the GCF number.
So the greatest common factor 80,616,147 is 1.

Lets's calculate LCM of 24,33,532

2 24, 33, 532
2 12, 33, 266
3 6, 33, 133
2, 11, 133

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 11 x 133 = 35112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35112

Therefore, the GCF of Fractions 80/24,616/33,147/532 is 1/35112

Least Common Multiple of 24,33,532 with GCF Formula

Least Common Multiple of 24,33,532 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 24,33,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,33,532) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,33,532) x common factors =1 x 12 = 12

LCM(24,33,532) = ( 24 × 33 × 532 ) / 12

LCM(24,33,532) = 421344 / 12

LCM(24,33,532) = 35112


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 80/24, 616/33, 147/532

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 80/24, 616/33, 147/532?

Answer: GCF of Numerators as per given numbers 80/24, 616/33, 147/532 is

GCF of Numerators i.e. for 80,616,147 is 1

LCM of denominators i.e. for 24,33,532 is 35112.

Thus, GCF of Fractions is 1/35112.Finally, GCF of Fractions for 80/24, 616/33, 147/532 is 1/35112.