Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/564,675/788,528/503
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 27,675,528
Greatest Common Factor of Numerators i.e. GCF of 27,675,528 is 3 .
LCM of Denominators means LCM of 564,788,503 as per the given fractions.
LCM of 564,788,503 is 55887324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,675,528
3 | 27, 675, 528 |
9, 225, 176 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 27,675,528 . The biggest common factor number is the GCF number.
So the greatest common factor 27,675,528 is 3.
Lets's calculate LCM of 564,788,503
2 | 564, 788, 503 |
2 | 282, 394, 503 |
141, 197, 503 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 197 x 503 = 55887324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55887324
Therefore, the GCF of Fractions 27/564,675/788,528/503 is 3/55887324
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 564,788,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,788,503) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(564,788,503) x common factors =1 x 4 = 4
LCM(564,788,503) = ( 564 × 788 × 503 ) / 4
LCM(564,788,503) = 223549296 / 4
LCM(564,788,503) = 55887324
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 27/564, 675/788, 528/503?
Answer: GCF of Numerators as per given numbers 27/564, 675/788, 528/503 is
GCF of Numerators i.e. for 27,675,528 is 3
LCM of denominators i.e. for 564,788,503 is 55887324.
Thus, GCF of Fractions is 3/55887324.Finally, GCF of Fractions for 27/564, 675/788, 528/503 is 3/55887324.