Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8879/612,2940/7084
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 8879,2940
Greatest Common Factor of Numerators i.e. GCF of 8879,2940 is 1 .
LCM of Denominators means LCM of 612,7084 as per the given fractions.
LCM of 612,7084 is 1083852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8879,2940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8879
List of positive integer factors of 8879 that divides 8879 without a remainder.
1,13,683,8879
Factors of 2940
List of positive integer factors of 2940 that divides 2940 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940
Greatest Common Factor
We found the factors 8879,2940 . The biggest common factor number is the GCF number.
So the greatest common factor 8879,2940 is 1.
Lets's calculate LCM of 612,7084
2 | 612, 7084 |
2 | 306, 3542 |
153, 1771 |
∴ So the LCM of the given numbers is 2 x 2 x 153 x 1771 = 1083852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1083852
Therefore, the GCF of Fractions 8879/612,2940/7084 is 1/1083852
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 612,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,7084) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(612,7084) x common factors =4 x 1 = 4
LCM(612,7084) = ( 612 × 7084 ) / 4
LCM(612,7084) = 4335408 / 4
LCM(612,7084) = 1083852
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 8879/612, 2940/7084?
Answer: GCF of Numerators as per given numbers 8879/612, 2940/7084 is
GCF of Numerators i.e. for 8879,2940 is 1
LCM of denominators i.e. for 612,7084 is 1083852.
Thus, GCF of Fractions is 1/1083852.Finally, GCF of Fractions for 8879/612, 2940/7084 is 1/1083852.