Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9552/167,4792/989
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 9552,4792
Greatest Common Factor of Numerators i.e. GCF of 9552,4792 is 8 .
LCM of Denominators means LCM of 167,989 as per the given fractions.
LCM of 167,989 is 165163 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9552,4792
2 | 9552, 4792 |
2 | 4776, 2396 |
2 | 2388, 1198 |
1194, 599 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 9552
List of positive integer factors of 9552 that divides 9552 without a remainder.
1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552
Factors of 4792
List of positive integer factors of 4792 that divides 4792 without a remainder.
1,2,4,8,599,1198,2396,4792
Greatest Common Factor
We found the factors 9552,4792 . The biggest common factor number is the GCF number.
So the greatest common factor 9552,4792 is 8.
Lets's calculate LCM of 167,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 165163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/165163
Therefore, the GCF of Fractions 9552/167,4792/989 is 8/165163
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 167,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,989) x common factors =1 x 1 = 1
LCM(167,989) = ( 167 × 989 ) / 1
LCM(167,989) = 165163 / 1
LCM(167,989) = 165163
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 9552/167, 4792/989?
Answer: GCF of Numerators as per given numbers 9552/167, 4792/989 is
GCF of Numerators i.e. for 9552,4792 is 8
LCM of denominators i.e. for 167,989 is 165163.
Thus, GCF of Fractions is 8/165163.Finally, GCF of Fractions for 9552/167, 4792/989 is 8/165163.