Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/940,4984/1627
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 81,4984
Greatest Common Factor of Numerators i.e. GCF of 81,4984 is 1 .
LCM of Denominators means LCM of 940,1627 as per the given fractions.
LCM of 940,1627 is 1529380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,4984
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 4984
List of positive integer factors of 4984 that divides 4984 without a remainder.
1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984
Greatest Common Factor
We found the factors 81,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 81,4984 is 1.
Lets's calculate LCM of 940,1627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529380
Therefore, the GCF of Fractions 81/940,4984/1627 is 1/1529380
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 940,1627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,1627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,1627) x common factors =1 x 1 = 1
LCM(940,1627) = ( 940 × 1627 ) / 1
LCM(940,1627) = 1529380 / 1
LCM(940,1627) = 1529380
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 81/940, 4984/1627?
Answer: GCF of Numerators as per given numbers 81/940, 4984/1627 is
GCF of Numerators i.e. for 81,4984 is 1
LCM of denominators i.e. for 940,1627 is 1529380.
Thus, GCF of Fractions is 1/1529380.Finally, GCF of Fractions for 81/940, 4984/1627 is 1/1529380.