Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/541,8380/994
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 102,8380
Greatest Common Factor of Numerators i.e. GCF of 102,8380 is 2 .
LCM of Denominators means LCM of 541,994 as per the given fractions.
LCM of 541,994 is 537754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 102,8380
2 | 102, 8380 |
51, 4190 |
∴ 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 8380
List of positive integer factors of 8380 that divides 8380 without a remainder.
1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 102,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 102,8380 is 2.
Lets's calculate LCM of 541,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 537754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/537754
Therefore, the GCF of Fractions 102/541,8380/994 is 2/537754
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 541,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,994) x common factors =1 x 1 = 1
LCM(541,994) = ( 541 × 994 ) / 1
LCM(541,994) = 537754 / 1
LCM(541,994) = 537754
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 102/541, 8380/994?
Answer: GCF of Numerators as per given numbers 102/541, 8380/994 is
GCF of Numerators i.e. for 102,8380 is 2
LCM of denominators i.e. for 541,994 is 537754.
Thus, GCF of Fractions is 2/537754.Finally, GCF of Fractions for 102/541, 8380/994 is 2/537754.