Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7333/635,8820/2526
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 7333,8820
Greatest Common Factor of Numerators i.e. GCF of 7333,8820 is 1 .
LCM of Denominators means LCM of 635,2526 as per the given fractions.
LCM of 635,2526 is 1604010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7333,8820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7333
List of positive integer factors of 7333 that divides 7333 without a remainder.
1,7333
Factors of 8820
List of positive integer factors of 8820 that divides 8820 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Greatest Common Factor
We found the factors 7333,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,8820 is 1.
Lets's calculate LCM of 635,2526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1604010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1604010
Therefore, the GCF of Fractions 7333/635,8820/2526 is 1/1604010
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 635,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,2526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,2526) x common factors =1 x 1 = 1
LCM(635,2526) = ( 635 × 2526 ) / 1
LCM(635,2526) = 1604010 / 1
LCM(635,2526) = 1604010
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 7333/635, 8820/2526?
Answer: GCF of Numerators as per given numbers 7333/635, 8820/2526 is
GCF of Numerators i.e. for 7333,8820 is 1
LCM of denominators i.e. for 635,2526 is 1604010.
Thus, GCF of Fractions is 1/1604010.Finally, GCF of Fractions for 7333/635, 8820/2526 is 1/1604010.