Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/32,347/40,473/972
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 604,347,473
Greatest Common Factor of Numerators i.e. GCF of 604,347,473 is 1 .
LCM of Denominators means LCM of 32,40,972 as per the given fractions.
LCM of 32,40,972 is 38880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 604,347,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 604,347,473 . The biggest common factor number is the GCF number.
So the greatest common factor 604,347,473 is 1.
Lets's calculate LCM of 32,40,972
2 | 32, 40, 972 |
2 | 16, 20, 486 |
2 | 8, 10, 243 |
4, 5, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 5 x 243 = 38880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38880
Therefore, the GCF of Fractions 604/32,347/40,473/972 is 1/38880
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 32,40,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,40,972) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(32,40,972) x common factors =4 x 8 = 32
LCM(32,40,972) = ( 32 × 40 × 972 ) / 32
LCM(32,40,972) = 1244160 / 32
LCM(32,40,972) = 38880
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 604/32, 347/40, 473/972?
Answer: GCF of Numerators as per given numbers 604/32, 347/40, 473/972 is
GCF of Numerators i.e. for 604,347,473 is 1
LCM of denominators i.e. for 32,40,972 is 38880.
Thus, GCF of Fractions is 1/38880.Finally, GCF of Fractions for 604/32, 347/40, 473/972 is 1/38880.