Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8930/550,5436/8728
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 8930,5436
Greatest Common Factor of Numerators i.e. GCF of 8930,5436 is 2 .
LCM of Denominators means LCM of 550,8728 as per the given fractions.
LCM of 550,8728 is 2400200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8930,5436
2 | 8930, 5436 |
4465, 2718 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8930
List of positive integer factors of 8930 that divides 8930 without a remainder.
1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Factors of 5436
List of positive integer factors of 5436 that divides 5436 without a remainder.
1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436
Greatest Common Factor
We found the factors 8930,5436 . The biggest common factor number is the GCF number.
So the greatest common factor 8930,5436 is 2.
Lets's calculate LCM of 550,8728
2 | 550, 8728 |
275, 4364 |
∴ So the LCM of the given numbers is 2 x 275 x 4364 = 2400200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2400200
Therefore, the GCF of Fractions 8930/550,5436/8728 is 2/2400200
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 550,8728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,8728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,8728) x common factors =2 x 1 = 2
LCM(550,8728) = ( 550 × 8728 ) / 2
LCM(550,8728) = 4800400 / 2
LCM(550,8728) = 2400200
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 8930/550, 5436/8728?
Answer: GCF of Numerators as per given numbers 8930/550, 5436/8728 is
GCF of Numerators i.e. for 8930,5436 is 2
LCM of denominators i.e. for 550,8728 is 2400200.
Thus, GCF of Fractions is 2/2400200.Finally, GCF of Fractions for 8930/550, 5436/8728 is 2/2400200.