Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/390,548/992,621/152
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 448,548,621
Greatest Common Factor of Numerators i.e. GCF of 448,548,621 is 1 .
LCM of Denominators means LCM of 390,992,152 as per the given fractions.
LCM of 390,992,152 is 3675360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,548,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 448,548,621 . The biggest common factor number is the GCF number.
So the greatest common factor 448,548,621 is 1.
Lets's calculate LCM of 390,992,152
2 | 390, 992, 152 |
2 | 195, 496, 76 |
2 | 195, 248, 38 |
195, 124, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 195 x 124 x 19 = 3675360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3675360
Therefore, the GCF of Fractions 448/390,548/992,621/152 is 1/3675360
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 390,992,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,992,152) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(390,992,152) x common factors =2 x 8 = 16
LCM(390,992,152) = ( 390 × 992 × 152 ) / 16
LCM(390,992,152) = 58805760 / 16
LCM(390,992,152) = 3675360
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 448/390, 548/992, 621/152?
Answer: GCF of Numerators as per given numbers 448/390, 548/992, 621/152 is
GCF of Numerators i.e. for 448,548,621 is 1
LCM of denominators i.e. for 390,992,152 is 3675360.
Thus, GCF of Fractions is 1/3675360.Finally, GCF of Fractions for 448/390, 548/992, 621/152 is 1/3675360.