Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 284/88,532/8161
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 284,532
Greatest Common Factor of Numerators i.e. GCF of 284,532 is 4 .
LCM of Denominators means LCM of 88,8161 as per the given fractions.
LCM of 88,8161 is 718168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 284,532
2 | 284, 532 |
2 | 142, 266 |
71, 133 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 284,532 . The biggest common factor number is the GCF number.
So the greatest common factor 284,532 is 4.
Lets's calculate LCM of 88,8161
Given numbers has no common factors except 1. So, there LCM is their product i.e 718168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/718168
Therefore, the GCF of Fractions 284/88,532/8161 is 4/718168
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 88,8161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,8161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,8161) x common factors =1 x 1 = 1
LCM(88,8161) = ( 88 × 8161 ) / 1
LCM(88,8161) = 718168 / 1
LCM(88,8161) = 718168
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 284/88, 532/8161?
Answer: GCF of Numerators as per given numbers 284/88, 532/8161 is
GCF of Numerators i.e. for 284,532 is 4
LCM of denominators i.e. for 88,8161 is 718168.
Thus, GCF of Fractions is 4/718168.Finally, GCF of Fractions for 284/88, 532/8161 is 4/718168.