Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/142,2992/508
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 342,2992
Greatest Common Factor of Numerators i.e. GCF of 342,2992 is 2 .
LCM of Denominators means LCM of 142,508 as per the given fractions.
LCM of 142,508 is 36068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 342,2992
2 | 342, 2992 |
171, 1496 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 2992
List of positive integer factors of 2992 that divides 2992 without a remainder.
1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Greatest Common Factor
We found the factors 342,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 342,2992 is 2.
Lets's calculate LCM of 142,508
2 | 142, 508 |
71, 254 |
∴ So the LCM of the given numbers is 2 x 71 x 254 = 36068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36068
Therefore, the GCF of Fractions 342/142,2992/508 is 2/36068
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 142,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,508) x common factors =2 x 1 = 2
LCM(142,508) = ( 142 × 508 ) / 2
LCM(142,508) = 72136 / 2
LCM(142,508) = 36068
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 342/142, 2992/508?
Answer: GCF of Numerators as per given numbers 342/142, 2992/508 is
GCF of Numerators i.e. for 342,2992 is 2
LCM of denominators i.e. for 142,508 is 36068.
Thus, GCF of Fractions is 2/36068.Finally, GCF of Fractions for 342/142, 2992/508 is 2/36068.