Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4737/94,9492/366
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 4737,9492
Greatest Common Factor of Numerators i.e. GCF of 4737,9492 is 3 .
LCM of Denominators means LCM of 94,366 as per the given fractions.
LCM of 94,366 is 17202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4737,9492
3 | 4737, 9492 |
1579, 3164 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4737
List of positive integer factors of 4737 that divides 4737 without a remainder.
1,3,1579,4737
Factors of 9492
List of positive integer factors of 9492 that divides 9492 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Greatest Common Factor
We found the factors 4737,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,9492 is 3.
Lets's calculate LCM of 94,366
2 | 94, 366 |
47, 183 |
∴ So the LCM of the given numbers is 2 x 47 x 183 = 17202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17202
Therefore, the GCF of Fractions 4737/94,9492/366 is 3/17202
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 94,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,366) x common factors =2 x 1 = 2
LCM(94,366) = ( 94 × 366 ) / 2
LCM(94,366) = 34404 / 2
LCM(94,366) = 17202
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 4737/94, 9492/366?
Answer: GCF of Numerators as per given numbers 4737/94, 9492/366 is
GCF of Numerators i.e. for 4737,9492 is 3
LCM of denominators i.e. for 94,366 is 17202.
Thus, GCF of Fractions is 3/17202.Finally, GCF of Fractions for 4737/94, 9492/366 is 3/17202.