Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9476/151,2114/480
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 9476,2114
Greatest Common Factor of Numerators i.e. GCF of 9476,2114 is 2 .
LCM of Denominators means LCM of 151,480 as per the given fractions.
LCM of 151,480 is 72480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9476,2114
2 | 9476, 2114 |
4738, 1057 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9476
List of positive integer factors of 9476 that divides 9476 without a remainder.
1,2,4,23,46,92,103,206,412,2369,4738,9476
Factors of 2114
List of positive integer factors of 2114 that divides 2114 without a remainder.
1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 9476,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 9476,2114 is 2.
Lets's calculate LCM of 151,480
Given numbers has no common factors except 1. So, there LCM is their product i.e 72480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72480
Therefore, the GCF of Fractions 9476/151,2114/480 is 2/72480
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 151,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,480) x common factors =1 x 1 = 1
LCM(151,480) = ( 151 × 480 ) / 1
LCM(151,480) = 72480 / 1
LCM(151,480) = 72480
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 9476/151, 2114/480?
Answer: GCF of Numerators as per given numbers 9476/151, 2114/480 is
GCF of Numerators i.e. for 9476,2114 is 2
LCM of denominators i.e. for 151,480 is 72480.
Thus, GCF of Fractions is 2/72480.Finally, GCF of Fractions for 9476/151, 2114/480 is 2/72480.