Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2837/58,6664/428
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 2837,6664
Greatest Common Factor of Numerators i.e. GCF of 2837,6664 is 1 .
LCM of Denominators means LCM of 58,428 as per the given fractions.
LCM of 58,428 is 12412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2837,6664
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2837
List of positive integer factors of 2837 that divides 2837 without a remainder.
1,2837
Factors of 6664
List of positive integer factors of 6664 that divides 6664 without a remainder.
1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Greatest Common Factor
We found the factors 2837,6664 . The biggest common factor number is the GCF number.
So the greatest common factor 2837,6664 is 1.
Lets's calculate LCM of 58,428
2 | 58, 428 |
29, 214 |
∴ So the LCM of the given numbers is 2 x 29 x 214 = 12412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12412
Therefore, the GCF of Fractions 2837/58,6664/428 is 1/12412
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 58,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,428) x common factors =2 x 1 = 2
LCM(58,428) = ( 58 × 428 ) / 2
LCM(58,428) = 24824 / 2
LCM(58,428) = 12412
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 2837/58, 6664/428?
Answer: GCF of Numerators as per given numbers 2837/58, 6664/428 is
GCF of Numerators i.e. for 2837,6664 is 1
LCM of denominators i.e. for 58,428 is 12412.
Thus, GCF of Fractions is 1/12412.Finally, GCF of Fractions for 2837/58, 6664/428 is 1/12412.