Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8280/130,6587/273
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 8280,6587
Greatest Common Factor of Numerators i.e. GCF of 8280,6587 is 1 .
LCM of Denominators means LCM of 130,273 as per the given fractions.
LCM of 130,273 is 2730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8280,6587
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8280
List of positive integer factors of 8280 that divides 8280 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Factors of 6587
List of positive integer factors of 6587 that divides 6587 without a remainder.
1,7,941,6587
Greatest Common Factor
We found the factors 8280,6587 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,6587 is 1.
Lets's calculate LCM of 130,273
13 | 130, 273 |
10, 21 |
∴ So the LCM of the given numbers is 13 x 10 x 21 = 2730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2730
Therefore, the GCF of Fractions 8280/130,6587/273 is 1/2730
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 130,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,273) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(130,273) x common factors =13 x 1 = 13
LCM(130,273) = ( 130 × 273 ) / 13
LCM(130,273) = 35490 / 13
LCM(130,273) = 2730
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 8280/130, 6587/273?
Answer: GCF of Numerators as per given numbers 8280/130, 6587/273 is
GCF of Numerators i.e. for 8280,6587 is 1
LCM of denominators i.e. for 130,273 is 2730.
Thus, GCF of Fractions is 1/2730.Finally, GCF of Fractions for 8280/130, 6587/273 is 1/2730.