Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/63,80/95,65/513,973/356
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 2,80,65,973
Greatest Common Factor of Numerators i.e. GCF of 2,80,65,973 is 1 .
LCM of Denominators means LCM of 63,95,513,356 as per the given fractions.
LCM of 63,95,513,356 is 6391980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,80,65,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 2,80,65,973 . The biggest common factor number is the GCF number.
So the greatest common factor 2,80,65,973 is 1.
Lets's calculate LCM of 63,95,513,356
3 | 63, 95, 513, 356 |
3 | 21, 95, 171, 356 |
19 | 7, 95, 57, 356 |
7, 5, 3, 356 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 7 x 5 x 3 x 356 = 6391980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6391980
Therefore, the GCF of Fractions 2/63,80/95,65/513,973/356 is 1/6391980
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 63,95,513,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,95,513,356) = 1
common factors(in case of two or more numbers have common factors) = 171
GCF(63,95,513,356) x common factors =1 x 171 = 171
LCM(63,95,513,356) = ( 63 × 95 × 513 × 356 ) / 171
LCM(63,95,513,356) = 1093028580 / 171
LCM(63,95,513,356) = 6391980
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 2/63, 80/95, 65/513, 973/356?
Answer: GCF of Numerators as per given numbers 2/63, 80/95, 65/513, 973/356 is
GCF of Numerators i.e. for 2,80,65,973 is 1
LCM of denominators i.e. for 63,95,513,356 is 6391980.
Thus, GCF of Fractions is 1/6391980.Finally, GCF of Fractions for 2/63, 80/95, 65/513, 973/356 is 1/6391980.