Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/325,208/837,300/992
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 653,208,300
Greatest Common Factor of Numerators i.e. GCF of 653,208,300 is 1 .
LCM of Denominators means LCM of 325,837,992 as per the given fractions.
LCM of 325,837,992 is 8704800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 653,208,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 653,208,300 . The biggest common factor number is the GCF number.
So the greatest common factor 653,208,300 is 1.
Lets's calculate LCM of 325,837,992
31 | 325, 837, 992 |
325, 27, 32 |
∴ So the LCM of the given numbers is 31 x 325 x 27 x 32 = 8704800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8704800
Therefore, the GCF of Fractions 653/325,208/837,300/992 is 1/8704800
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 325,837,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,837,992) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(325,837,992) x common factors =1 x 31 = 31
LCM(325,837,992) = ( 325 × 837 × 992 ) / 31
LCM(325,837,992) = 269848800 / 31
LCM(325,837,992) = 8704800
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 653/325, 208/837, 300/992?
Answer: GCF of Numerators as per given numbers 653/325, 208/837, 300/992 is
GCF of Numerators i.e. for 653,208,300 is 1
LCM of denominators i.e. for 325,837,992 is 8704800.
Thus, GCF of Fractions is 1/8704800.Finally, GCF of Fractions for 653/325, 208/837, 300/992 is 1/8704800.