Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/42,7984/277
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 102,7984
Greatest Common Factor of Numerators i.e. GCF of 102,7984 is 2 .
LCM of Denominators means LCM of 42,277 as per the given fractions.
LCM of 42,277 is 11634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 102,7984
2 | 102, 7984 |
51, 3992 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 7984
List of positive integer factors of 7984 that divides 7984 without a remainder.
1,2,4,8,16,499,998,1996,3992,7984
Greatest Common Factor
We found the factors 102,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 102,7984 is 2.
Lets's calculate LCM of 42,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 11634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11634
Therefore, the GCF of Fractions 102/42,7984/277 is 2/11634
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 42,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,277) x common factors =1 x 1 = 1
LCM(42,277) = ( 42 × 277 ) / 1
LCM(42,277) = 11634 / 1
LCM(42,277) = 11634
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 102/42, 7984/277?
Answer: GCF of Numerators as per given numbers 102/42, 7984/277 is
GCF of Numerators i.e. for 102,7984 is 2
LCM of denominators i.e. for 42,277 is 11634.
Thus, GCF of Fractions is 2/11634.Finally, GCF of Fractions for 102/42, 7984/277 is 2/11634.