Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/64,76/39,90/891,132/481
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 6,76,90,132
Greatest Common Factor of Numerators i.e. GCF of 6,76,90,132 is 2 .
LCM of Denominators means LCM of 64,39,891,481 as per the given fractions.
LCM of 64,39,891,481 is 27428544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,76,90,132
2 | 6, 76, 90, 132 |
3, 38, 45, 66 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 6,76,90,132 . The biggest common factor number is the GCF number.
So the greatest common factor 6,76,90,132 is 2.
Lets's calculate LCM of 64,39,891,481
3 | 64, 39, 891, 481 |
13 | 64, 13, 297, 481 |
64, 1, 297, 37 |
∴ So the LCM of the given numbers is 3 x 13 x 64 x 1 x 297 x 37 = 27428544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27428544
Therefore, the GCF of Fractions 6/64,76/39,90/891,132/481 is 2/27428544
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 64,39,891,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,39,891,481) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(64,39,891,481) x common factors =1 x 39 = 39
LCM(64,39,891,481) = ( 64 × 39 × 891 × 481 ) / 39
LCM(64,39,891,481) = 1069713216 / 39
LCM(64,39,891,481) = 27428544
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 6/64, 76/39, 90/891, 132/481?
Answer: GCF of Numerators as per given numbers 6/64, 76/39, 90/891, 132/481 is
GCF of Numerators i.e. for 6,76,90,132 is 2
LCM of denominators i.e. for 64,39,891,481 is 27428544.
Thus, GCF of Fractions is 2/27428544.Finally, GCF of Fractions for 6/64, 76/39, 90/891, 132/481 is 2/27428544.