Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/16,920/8260
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 552,920
Greatest Common Factor of Numerators i.e. GCF of 552,920 is 184 .
LCM of Denominators means LCM of 16,8260 as per the given fractions.
LCM of 16,8260 is 33040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 552,920
2 | 552, 920 |
2 | 276, 460 |
2 | 138, 230 |
23 | 69, 115 |
3, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 23 = 184
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 552,920 . The biggest common factor number is the GCF number.
So the greatest common factor 552,920 is 184.
Lets's calculate LCM of 16,8260
2 | 16, 8260 |
2 | 8, 4130 |
4, 2065 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 2065 = 33040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 184/33040
Therefore, the GCF of Fractions 552/16,920/8260 is 184/33040
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 16,8260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,8260) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(16,8260) x common factors =4 x 1 = 4
LCM(16,8260) = ( 16 × 8260 ) / 4
LCM(16,8260) = 132160 / 4
LCM(16,8260) = 33040
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 552/16, 920/8260?
Answer: GCF of Numerators as per given numbers 552/16, 920/8260 is
GCF of Numerators i.e. for 552,920 is 184
LCM of denominators i.e. for 16,8260 is 33040.
Thus, GCF of Fractions is 184/33040.Finally, GCF of Fractions for 552/16, 920/8260 is 184/33040.