Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 984/88,792/247
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 984,792
Greatest Common Factor of Numerators i.e. GCF of 984,792 is 24 .
LCM of Denominators means LCM of 88,247 as per the given fractions.
LCM of 88,247 is 21736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 984,792
2 | 984, 792 |
2 | 492, 396 |
2 | 246, 198 |
3 | 123, 99 |
41, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
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 984,792 . The biggest common factor number is the GCF number.
So the greatest common factor 984,792 is 24.
Lets's calculate LCM of 88,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 21736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/21736
Therefore, the GCF of Fractions 984/88,792/247 is 24/21736
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 88,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,247) x common factors =1 x 1 = 1
LCM(88,247) = ( 88 × 247 ) / 1
LCM(88,247) = 21736 / 1
LCM(88,247) = 21736
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 984/88, 792/247?
Answer: GCF of Numerators as per given numbers 984/88, 792/247 is
GCF of Numerators i.e. for 984,792 is 24
LCM of denominators i.e. for 88,247 is 21736.
Thus, GCF of Fractions is 24/21736.Finally, GCF of Fractions for 984/88, 792/247 is 24/21736.