Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/845,8280/726
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 626,8280
Greatest Common Factor of Numerators i.e. GCF of 626,8280 is 2 .
LCM of Denominators means LCM of 845,726 as per the given fractions.
LCM of 845,726 is 613470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 626,8280
2 | 626, 8280 |
313, 4140 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
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
Greatest Common Factor
We found the factors 626,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 626,8280 is 2.
Lets's calculate LCM of 845,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 613470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/613470
Therefore, the GCF of Fractions 626/845,8280/726 is 2/613470
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 845,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,726) x common factors =1 x 1 = 1
LCM(845,726) = ( 845 × 726 ) / 1
LCM(845,726) = 613470 / 1
LCM(845,726) = 613470
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 626/845, 8280/726?
Answer: GCF of Numerators as per given numbers 626/845, 8280/726 is
GCF of Numerators i.e. for 626,8280 is 2
LCM of denominators i.e. for 845,726 is 613470.
Thus, GCF of Fractions is 2/613470.Finally, GCF of Fractions for 626/845, 8280/726 is 2/613470.