Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 478/107,3002/305
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 478,3002
Greatest Common Factor of Numerators i.e. GCF of 478,3002 is 2 .
LCM of Denominators means LCM of 107,305 as per the given fractions.
LCM of 107,305 is 32635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 478,3002
2 | 478, 3002 |
239, 1501 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 3002
List of positive integer factors of 3002 that divides 3002 without a remainder.
1,2,19,38,79,158,1501,3002
Greatest Common Factor
We found the factors 478,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 478,3002 is 2.
Lets's calculate LCM of 107,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 32635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32635
Therefore, the GCF of Fractions 478/107,3002/305 is 2/32635
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 107,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,305) x common factors =1 x 1 = 1
LCM(107,305) = ( 107 × 305 ) / 1
LCM(107,305) = 32635 / 1
LCM(107,305) = 32635
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 478/107, 3002/305?
Answer: GCF of Numerators as per given numbers 478/107, 3002/305 is
GCF of Numerators i.e. for 478,3002 is 2
LCM of denominators i.e. for 107,305 is 32635.
Thus, GCF of Fractions is 2/32635.Finally, GCF of Fractions for 478/107, 3002/305 is 2/32635.