Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5345/880,3430/612
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 5345,3430
Greatest Common Factor of Numerators i.e. GCF of 5345,3430 is 5 .
LCM of Denominators means LCM of 880,612 as per the given fractions.
LCM of 880,612 is 134640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5345,3430
5 | 5345, 3430 |
1069, 686 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5345
List of positive integer factors of 5345 that divides 5345 without a remainder.
1,5,1069,5345
Factors of 3430
List of positive integer factors of 3430 that divides 3430 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Greatest Common Factor
We found the factors 5345,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 5345,3430 is 5.
Lets's calculate LCM of 880,612
2 | 880, 612 |
2 | 440, 306 |
220, 153 |
∴ So the LCM of the given numbers is 2 x 2 x 220 x 153 = 134640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/134640
Therefore, the GCF of Fractions 5345/880,3430/612 is 5/134640
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 880,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,612) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(880,612) x common factors =4 x 1 = 4
LCM(880,612) = ( 880 × 612 ) / 4
LCM(880,612) = 538560 / 4
LCM(880,612) = 134640
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 5345/880, 3430/612?
Answer: GCF of Numerators as per given numbers 5345/880, 3430/612 is
GCF of Numerators i.e. for 5345,3430 is 5
LCM of denominators i.e. for 880,612 is 134640.
Thus, GCF of Fractions is 5/134640.Finally, GCF of Fractions for 5345/880, 3430/612 is 5/134640.