Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/424,332/451
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 83,332
Greatest Common Factor of Numerators i.e. GCF of 83,332 is 83 .
LCM of Denominators means LCM of 424,451 as per the given fractions.
LCM of 424,451 is 191224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,332
83 | 83, 332 |
1, 4 |
∴ So the GCF of the given numbers is 83 = 83
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 83,332 . The biggest common factor number is the GCF number.
So the greatest common factor 83,332 is 83.
Lets's calculate LCM of 424,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 191224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/191224
Therefore, the GCF of Fractions 83/424,332/451 is 83/191224
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 424,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,451) x common factors =1 x 1 = 1
LCM(424,451) = ( 424 × 451 ) / 1
LCM(424,451) = 191224 / 1
LCM(424,451) = 191224
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 83/424, 332/451?
Answer: GCF of Numerators as per given numbers 83/424, 332/451 is
GCF of Numerators i.e. for 83,332 is 83
LCM of denominators i.e. for 424,451 is 191224.
Thus, GCF of Fractions is 83/191224.Finally, GCF of Fractions for 83/424, 332/451 is 83/191224.