Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 499/64,181/2520
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 499,181
Greatest Common Factor of Numerators i.e. GCF of 499,181 is 1 .
LCM of Denominators means LCM of 64,2520 as per the given fractions.
LCM of 64,2520 is 20160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 499,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 499,181 . The biggest common factor number is the GCF number.
So the greatest common factor 499,181 is 1.
Lets's calculate LCM of 64,2520
2 | 64, 2520 |
2 | 32, 1260 |
2 | 16, 630 |
8, 315 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 315 = 20160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20160
Therefore, the GCF of Fractions 499/64,181/2520 is 1/20160
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 64,2520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,2520) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(64,2520) x common factors =8 x 1 = 8
LCM(64,2520) = ( 64 × 2520 ) / 8
LCM(64,2520) = 161280 / 8
LCM(64,2520) = 20160
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 499/64, 181/2520?
Answer: GCF of Numerators as per given numbers 499/64, 181/2520 is
GCF of Numerators i.e. for 499,181 is 1
LCM of denominators i.e. for 64,2520 is 20160.
Thus, GCF of Fractions is 1/20160.Finally, GCF of Fractions for 499/64, 181/2520 is 1/20160.