Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2253/975,4708/8772
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 2253,4708
Greatest Common Factor of Numerators i.e. GCF of 2253,4708 is 1 .
LCM of Denominators means LCM of 975,8772 as per the given fractions.
LCM of 975,8772 is 2850900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2253,4708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2253
List of positive integer factors of 2253 that divides 2253 without a remainder.
1,3,751,2253
Factors of 4708
List of positive integer factors of 4708 that divides 4708 without a remainder.
1,2,4,11,22,44,107,214,428,1177,2354,4708
Greatest Common Factor
We found the factors 2253,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 2253,4708 is 1.
Lets's calculate LCM of 975,8772
3 | 975, 8772 |
325, 2924 |
∴ So the LCM of the given numbers is 3 x 325 x 2924 = 2850900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2850900
Therefore, the GCF of Fractions 2253/975,4708/8772 is 1/2850900
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 975,8772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,8772) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,8772) x common factors =3 x 1 = 3
LCM(975,8772) = ( 975 × 8772 ) / 3
LCM(975,8772) = 8552700 / 3
LCM(975,8772) = 2850900
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 2253/975, 4708/8772?
Answer: GCF of Numerators as per given numbers 2253/975, 4708/8772 is
GCF of Numerators i.e. for 2253,4708 is 1
LCM of denominators i.e. for 975,8772 is 2850900.
Thus, GCF of Fractions is 1/2850900.Finally, GCF of Fractions for 2253/975, 4708/8772 is 1/2850900.