Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1985/529,6215/9136
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 1985,6215
Greatest Common Factor of Numerators i.e. GCF of 1985,6215 is 5 .
LCM of Denominators means LCM of 529,9136 as per the given fractions.
LCM of 529,9136 is 4832944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1985,6215
5 | 1985, 6215 |
397, 1243 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1985
List of positive integer factors of 1985 that divides 1985 without a remainder.
1,5,397,1985
Factors of 6215
List of positive integer factors of 6215 that divides 6215 without a remainder.
1,5,11,55,113,565,1243,6215
Greatest Common Factor
We found the factors 1985,6215 . The biggest common factor number is the GCF number.
So the greatest common factor 1985,6215 is 5.
Lets's calculate LCM of 529,9136
Given numbers has no common factors except 1. So, there LCM is their product i.e 4832944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4832944
Therefore, the GCF of Fractions 1985/529,6215/9136 is 5/4832944
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 529,9136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,9136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,9136) x common factors =1 x 1 = 1
LCM(529,9136) = ( 529 × 9136 ) / 1
LCM(529,9136) = 4832944 / 1
LCM(529,9136) = 4832944
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 1985/529, 6215/9136?
Answer: GCF of Numerators as per given numbers 1985/529, 6215/9136 is
GCF of Numerators i.e. for 1985,6215 is 5
LCM of denominators i.e. for 529,9136 is 4832944.
Thus, GCF of Fractions is 5/4832944.Finally, GCF of Fractions for 1985/529, 6215/9136 is 5/4832944.