Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4912/60,1807/852
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 4912,1807
Greatest Common Factor of Numerators i.e. GCF of 4912,1807 is 1 .
LCM of Denominators means LCM of 60,852 as per the given fractions.
LCM of 60,852 is 4260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4912,1807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4912
List of positive integer factors of 4912 that divides 4912 without a remainder.
1,2,4,8,16,307,614,1228,2456,4912
Factors of 1807
List of positive integer factors of 1807 that divides 1807 without a remainder.
1,13,139,1807
Greatest Common Factor
We found the factors 4912,1807 . The biggest common factor number is the GCF number.
So the greatest common factor 4912,1807 is 1.
Lets's calculate LCM of 60,852
2 | 60, 852 |
2 | 30, 426 |
3 | 15, 213 |
5, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 71 = 4260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4260
Therefore, the GCF of Fractions 4912/60,1807/852 is 1/4260
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 60,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(60,852) x common factors =12 x 1 = 12
LCM(60,852) = ( 60 × 852 ) / 12
LCM(60,852) = 51120 / 12
LCM(60,852) = 4260
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 4912/60, 1807/852?
Answer: GCF of Numerators as per given numbers 4912/60, 1807/852 is
GCF of Numerators i.e. for 4912,1807 is 1
LCM of denominators i.e. for 60,852 is 4260.
Thus, GCF of Fractions is 1/4260.Finally, GCF of Fractions for 4912/60, 1807/852 is 1/4260.