Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 242/460,4064/525
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 242,4064
Greatest Common Factor of Numerators i.e. GCF of 242,4064 is 2 .
LCM of Denominators means LCM of 460,525 as per the given fractions.
LCM of 460,525 is 48300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 242,4064
2 | 242, 4064 |
121, 2032 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 4064
List of positive integer factors of 4064 that divides 4064 without a remainder.
1,2,4,8,16,32,127,254,508,1016,2032,4064
Greatest Common Factor
We found the factors 242,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 242,4064 is 2.
Lets's calculate LCM of 460,525
5 | 460, 525 |
92, 105 |
∴ So the LCM of the given numbers is 5 x 92 x 105 = 48300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48300
Therefore, the GCF of Fractions 242/460,4064/525 is 2/48300
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 460,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,525) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(460,525) x common factors =5 x 1 = 5
LCM(460,525) = ( 460 × 525 ) / 5
LCM(460,525) = 241500 / 5
LCM(460,525) = 48300
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 242/460, 4064/525?
Answer: GCF of Numerators as per given numbers 242/460, 4064/525 is
GCF of Numerators i.e. for 242,4064 is 2
LCM of denominators i.e. for 460,525 is 48300.
Thus, GCF of Fractions is 2/48300.Finally, GCF of Fractions for 242/460, 4064/525 is 2/48300.