Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/90,798/132
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 874,798
Greatest Common Factor of Numerators i.e. GCF of 874,798 is 38 .
LCM of Denominators means LCM of 90,132 as per the given fractions.
LCM of 90,132 is 1980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 874,798
2 | 874, 798 |
19 | 437, 399 |
23, 21 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 874,798 . The biggest common factor number is the GCF number.
So the greatest common factor 874,798 is 38.
Lets's calculate LCM of 90,132
2 | 90, 132 |
3 | 45, 66 |
15, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 22 = 1980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1980
Therefore, the GCF of Fractions 874/90,798/132 is 38/1980
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 90,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,132) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(90,132) x common factors =6 x 1 = 6
LCM(90,132) = ( 90 × 132 ) / 6
LCM(90,132) = 11880 / 6
LCM(90,132) = 1980
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 874/90, 798/132?
Answer: GCF of Numerators as per given numbers 874/90, 798/132 is
GCF of Numerators i.e. for 874,798 is 38
LCM of denominators i.e. for 90,132 is 1980.
Thus, GCF of Fractions is 38/1980.Finally, GCF of Fractions for 874/90, 798/132 is 38/1980.