Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/99,728/2834
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 602,728
Greatest Common Factor of Numerators i.e. GCF of 602,728 is 14 .
LCM of Denominators means LCM of 99,2834 as per the given fractions.
LCM of 99,2834 is 280566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 602,728
2 | 602, 728 |
7 | 301, 364 |
43, 52 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 602,728 . The biggest common factor number is the GCF number.
So the greatest common factor 602,728 is 14.
Lets's calculate LCM of 99,2834
Given numbers has no common factors except 1. So, there LCM is their product i.e 280566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/280566
Therefore, the GCF of Fractions 602/99,728/2834 is 14/280566
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 99,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,2834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,2834) x common factors =1 x 1 = 1
LCM(99,2834) = ( 99 × 2834 ) / 1
LCM(99,2834) = 280566 / 1
LCM(99,2834) = 280566
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 602/99, 728/2834?
Answer: GCF of Numerators as per given numbers 602/99, 728/2834 is
GCF of Numerators i.e. for 602,728 is 14
LCM of denominators i.e. for 99,2834 is 280566.
Thus, GCF of Fractions is 14/280566.Finally, GCF of Fractions for 602/99, 728/2834 is 14/280566.