Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/882,935/504
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 88,935
Greatest Common Factor of Numerators i.e. GCF of 88,935 is 11 .
LCM of Denominators means LCM of 882,504 as per the given fractions.
LCM of 882,504 is 3528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,935
11 | 88, 935 |
8, 85 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 88,935 . The biggest common factor number is the GCF number.
So the greatest common factor 88,935 is 11.
Lets's calculate LCM of 882,504
2 | 882, 504 |
3 | 441, 252 |
3 | 147, 84 |
7 | 49, 28 |
7, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 7 x 4 = 3528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3528
Therefore, the GCF of Fractions 88/882,935/504 is 11/3528
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 882,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,504) = 126
common factors(in case of two or more numbers have common factors) = 1
GCF(882,504) x common factors =126 x 1 = 126
LCM(882,504) = ( 882 × 504 ) / 126
LCM(882,504) = 444528 / 126
LCM(882,504) = 3528
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 88/882, 935/504?
Answer: GCF of Numerators as per given numbers 88/882, 935/504 is
GCF of Numerators i.e. for 88,935 is 11
LCM of denominators i.e. for 882,504 is 3528.
Thus, GCF of Fractions is 11/3528.Finally, GCF of Fractions for 88/882, 935/504 is 11/3528.