Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4998/325,1932/5758
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 4998,1932
Greatest Common Factor of Numerators i.e. GCF of 4998,1932 is 42 .
LCM of Denominators means LCM of 325,5758 as per the given fractions.
LCM of 325,5758 is 1871350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4998,1932
2 | 4998, 1932 |
3 | 2499, 966 |
7 | 833, 322 |
119, 46 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Factors of 4998
List of positive integer factors of 4998 that divides 4998 without a remainder.
1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998
Factors of 1932
List of positive integer factors of 1932 that divides 1932 without a remainder.
1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 4998,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 4998,1932 is 42.
Lets's calculate LCM of 325,5758
Given numbers has no common factors except 1. So, there LCM is their product i.e 1871350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1871350
Therefore, the GCF of Fractions 4998/325,1932/5758 is 42/1871350
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 325,5758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,5758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,5758) x common factors =1 x 1 = 1
LCM(325,5758) = ( 325 × 5758 ) / 1
LCM(325,5758) = 1871350 / 1
LCM(325,5758) = 1871350
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 4998/325, 1932/5758?
Answer: GCF of Numerators as per given numbers 4998/325, 1932/5758 is
GCF of Numerators i.e. for 4998,1932 is 42
LCM of denominators i.e. for 325,5758 is 1871350.
Thus, GCF of Fractions is 42/1871350.Finally, GCF of Fractions for 4998/325, 1932/5758 is 42/1871350.