Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 888/78,548/44,792/443
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 888,548,792
Greatest Common Factor of Numerators i.e. GCF of 888,548,792 is 4 .
LCM of Denominators means LCM of 78,44,443 as per the given fractions.
LCM of 78,44,443 is 760188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 888,548,792
2 | 888, 548, 792 |
2 | 444, 274, 396 |
222, 137, 198 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 888,548,792 . The biggest common factor number is the GCF number.
So the greatest common factor 888,548,792 is 4.
Lets's calculate LCM of 78,44,443
2 | 78, 44, 443 |
39, 22, 443 |
∴ So the LCM of the given numbers is 2 x 39 x 22 x 443 = 760188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/760188
Therefore, the GCF of Fractions 888/78,548/44,792/443 is 4/760188
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 78,44,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,44,443) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(78,44,443) x common factors =1 x 2 = 2
LCM(78,44,443) = ( 78 × 44 × 443 ) / 2
LCM(78,44,443) = 1520376 / 2
LCM(78,44,443) = 760188
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 888/78, 548/44, 792/443?
Answer: GCF of Numerators as per given numbers 888/78, 548/44, 792/443 is
GCF of Numerators i.e. for 888,548,792 is 4
LCM of denominators i.e. for 78,44,443 is 760188.
Thus, GCF of Fractions is 4/760188.Finally, GCF of Fractions for 888/78, 548/44, 792/443 is 4/760188.