Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 588/760,144/466
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 588,144
Greatest Common Factor of Numerators i.e. GCF of 588,144 is 12 .
LCM of Denominators means LCM of 760,466 as per the given fractions.
LCM of 760,466 is 177080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 588,144
2 | 588, 144 |
2 | 294, 72 |
3 | 147, 36 |
49, 12 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 588,144 . The biggest common factor number is the GCF number.
So the greatest common factor 588,144 is 12.
Lets's calculate LCM of 760,466
2 | 760, 466 |
380, 233 |
∴ So the LCM of the given numbers is 2 x 380 x 233 = 177080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/177080
Therefore, the GCF of Fractions 588/760,144/466 is 12/177080
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 760,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,466) x common factors =2 x 1 = 2
LCM(760,466) = ( 760 × 466 ) / 2
LCM(760,466) = 354160 / 2
LCM(760,466) = 177080
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 588/760, 144/466?
Answer: GCF of Numerators as per given numbers 588/760, 144/466 is
GCF of Numerators i.e. for 588,144 is 12
LCM of denominators i.e. for 760,466 is 177080.
Thus, GCF of Fractions is 12/177080.Finally, GCF of Fractions for 588/760, 144/466 is 12/177080.