Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4826/276,6664/5151
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 4826,6664
Greatest Common Factor of Numerators i.e. GCF of 4826,6664 is 2 .
LCM of Denominators means LCM of 276,5151 as per the given fractions.
LCM of 276,5151 is 473892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4826,6664
2 | 4826, 6664 |
2413, 3332 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4826
List of positive integer factors of 4826 that divides 4826 without a remainder.
1,2,19,38,127,254,2413,4826
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 4826,6664 . The biggest common factor number is the GCF number.
So the greatest common factor 4826,6664 is 2.
Lets's calculate LCM of 276,5151
3 | 276, 5151 |
92, 1717 |
∴ So the LCM of the given numbers is 3 x 92 x 1717 = 473892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473892
Therefore, the GCF of Fractions 4826/276,6664/5151 is 2/473892
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 276,5151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,5151) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(276,5151) x common factors =3 x 1 = 3
LCM(276,5151) = ( 276 × 5151 ) / 3
LCM(276,5151) = 1421676 / 3
LCM(276,5151) = 473892
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 4826/276, 6664/5151?
Answer: GCF of Numerators as per given numbers 4826/276, 6664/5151 is
GCF of Numerators i.e. for 4826,6664 is 2
LCM of denominators i.e. for 276,5151 is 473892.
Thus, GCF of Fractions is 2/473892.Finally, GCF of Fractions for 4826/276, 6664/5151 is 2/473892.