Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/972,582/234,296/144
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 61,582,296
Greatest Common Factor of Numerators i.e. GCF of 61,582,296 is 1 .
LCM of Denominators means LCM of 972,234,144 as per the given fractions.
LCM of 972,234,144 is 50544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,582,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 61,582,296 . The biggest common factor number is the GCF number.
So the greatest common factor 61,582,296 is 1.
Lets's calculate LCM of 972,234,144
2 | 972, 234, 144 |
2 | 486, 117, 72 |
3 | 243, 117, 36 |
3 | 81, 39, 12 |
27, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 27 x 13 x 4 = 50544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50544
Therefore, the GCF of Fractions 61/972,582/234,296/144 is 1/50544
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 972,234,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,234,144) = 18
common factors(in case of two or more numbers have common factors) = 36
GCF(972,234,144) x common factors =18 x 36 = 648
LCM(972,234,144) = ( 972 × 234 × 144 ) / 648
LCM(972,234,144) = 32752512 / 648
LCM(972,234,144) = 50544
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 61/972, 582/234, 296/144?
Answer: GCF of Numerators as per given numbers 61/972, 582/234, 296/144 is
GCF of Numerators i.e. for 61,582,296 is 1
LCM of denominators i.e. for 972,234,144 is 50544.
Thus, GCF of Fractions is 1/50544.Finally, GCF of Fractions for 61/972, 582/234, 296/144 is 1/50544.