Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1284/87,3100/778
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 1284,3100
Greatest Common Factor of Numerators i.e. GCF of 1284,3100 is 4 .
LCM of Denominators means LCM of 87,778 as per the given fractions.
LCM of 87,778 is 67686 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1284,3100
2 | 1284, 3100 |
2 | 642, 1550 |
321, 775 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1284
List of positive integer factors of 1284 that divides 1284 without a remainder.
1,2,3,4,6,12,107,214,321,428,642,1284
Factors of 3100
List of positive integer factors of 3100 that divides 3100 without a remainder.
1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Greatest Common Factor
We found the factors 1284,3100 . The biggest common factor number is the GCF number.
So the greatest common factor 1284,3100 is 4.
Lets's calculate LCM of 87,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 67686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/67686
Therefore, the GCF of Fractions 1284/87,3100/778 is 4/67686
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 87,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,778) x common factors =1 x 1 = 1
LCM(87,778) = ( 87 × 778 ) / 1
LCM(87,778) = 67686 / 1
LCM(87,778) = 67686
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 1284/87, 3100/778?
Answer: GCF of Numerators as per given numbers 1284/87, 3100/778 is
GCF of Numerators i.e. for 1284,3100 is 4
LCM of denominators i.e. for 87,778 is 67686.
Thus, GCF of Fractions is 4/67686.Finally, GCF of Fractions for 1284/87, 3100/778 is 4/67686.