Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/902,8624/600
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 618,8624
Greatest Common Factor of Numerators i.e. GCF of 618,8624 is 2 .
LCM of Denominators means LCM of 902,600 as per the given fractions.
LCM of 902,600 is 270600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 618,8624
2 | 618, 8624 |
309, 4312 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 8624
List of positive integer factors of 8624 that divides 8624 without a remainder.
1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Greatest Common Factor
We found the factors 618,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 618,8624 is 2.
Lets's calculate LCM of 902,600
2 | 902, 600 |
451, 300 |
∴ So the LCM of the given numbers is 2 x 451 x 300 = 270600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270600
Therefore, the GCF of Fractions 618/902,8624/600 is 2/270600
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 902,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,600) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,600) x common factors =2 x 1 = 2
LCM(902,600) = ( 902 × 600 ) / 2
LCM(902,600) = 541200 / 2
LCM(902,600) = 270600
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 618/902, 8624/600?
Answer: GCF of Numerators as per given numbers 618/902, 8624/600 is
GCF of Numerators i.e. for 618,8624 is 2
LCM of denominators i.e. for 902,600 is 270600.
Thus, GCF of Fractions is 2/270600.Finally, GCF of Fractions for 618/902, 8624/600 is 2/270600.