Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1712/684,6788/9208
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 1712,6788
Greatest Common Factor of Numerators i.e. GCF of 1712,6788 is 4 .
LCM of Denominators means LCM of 684,9208 as per the given fractions.
LCM of 684,9208 is 1574568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1712,6788
2 | 1712, 6788 |
2 | 856, 3394 |
428, 1697 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1712
List of positive integer factors of 1712 that divides 1712 without a remainder.
1,2,4,8,16,107,214,428,856,1712
Factors of 6788
List of positive integer factors of 6788 that divides 6788 without a remainder.
1,2,4,1697,3394,6788
Greatest Common Factor
We found the factors 1712,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 1712,6788 is 4.
Lets's calculate LCM of 684,9208
2 | 684, 9208 |
2 | 342, 4604 |
171, 2302 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 2302 = 1574568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1574568
Therefore, the GCF of Fractions 1712/684,6788/9208 is 4/1574568
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 684,9208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,9208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,9208) x common factors =4 x 1 = 4
LCM(684,9208) = ( 684 × 9208 ) / 4
LCM(684,9208) = 6298272 / 4
LCM(684,9208) = 1574568
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 1712/684, 6788/9208?
Answer: GCF of Numerators as per given numbers 1712/684, 6788/9208 is
GCF of Numerators i.e. for 1712,6788 is 4
LCM of denominators i.e. for 684,9208 is 1574568.
Thus, GCF of Fractions is 4/1574568.Finally, GCF of Fractions for 1712/684, 6788/9208 is 4/1574568.