Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Greatest Common Factor of 3/72, 4/60, 81/19, 23/886

Get help with finding GCF of fractions 3/72, 4/60, 81/19, 23/886 using GCF of Fractions Calculator to know the result 1/3030120 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 3/72, 4/60, 81/19, 23/886 is 1/3030120.

GCF(3/72, 4/60, 81/19, 23/886) = 1/3030120

GCF of 3/72, 4/60, 81/19, 23/886

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Given fractions are 3/72,4/60,81/19,23/886

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 3,4,81,23

Greatest Common Factor of Numerators i.e. GCF of 3,4,81,23 is 1 .

LCM of Denominators means LCM of 72,60,19,886 as per the given fractions.

LCM of 72,60,19,886 is 3030120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,4,81,23

Greatest Common Factor (GCF) of 3,4,81,23 By Common Division

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

Greatest Common Factor of 3,4,81,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,4,81,23 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 3,4,81,23 . The biggest common factor number is the GCF number.
So the greatest common factor 3,4,81,23 is 1.


Lets's calculate LCM of 72,60,19,886

Least Common Multiple (LCM) of 72,60,19,886 By Common Division

2 72, 60, 19, 886
2 36, 30, 19, 443
3 18, 15, 19, 443
6, 5, 19, 443

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 5 x 19 x 443 = 3030120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3030120

Therefore, the GCF of Fractions 3/72,4/60,81/19,23/886 is 1/3030120

Least Common Multiple of 72,60,19,886 with GCF Formula

Least Common Multiple of 72,60,19,886 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 72,60,19,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,60,19,886) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,60,19,886) x common factors =1 x 24 = 24

LCM(72,60,19,886) = ( 72 × 60 × 19 × 886 ) / 24

LCM(72,60,19,886) = 72722880 / 24

LCM(72,60,19,886) = 3030120


GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3/72, 4/60, 81/19, 23/886

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 3/72, 4/60, 81/19, 23/886?

Answer: GCF of Numerators as per given numbers 3/72, 4/60, 81/19, 23/886 is

GCF of Numerators i.e. for 3,4,81,23 is 1

LCM of denominators i.e. for 72,60,19,886 is 3030120.

Thus, GCF of Fractions is 1/3030120.Finally, GCF of Fractions for 3/72, 4/60, 81/19, 23/886 is 1/3030120.