Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/1221,901/3573
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 848,901
Greatest Common Factor of Numerators i.e. GCF of 848,901 is 53 .
LCM of Denominators means LCM of 1221,3573 as per the given fractions.
LCM of 1221,3573 is 1454211 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,901
53 | 848, 901 |
16, 17 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 848,901 . The biggest common factor number is the GCF number.
So the greatest common factor 848,901 is 53.
Lets's calculate LCM of 1221,3573
3 | 1221, 3573 |
407, 1191 |
∴ So the LCM of the given numbers is 3 x 407 x 1191 = 1454211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/1454211
Therefore, the GCF of Fractions 848/1221,901/3573 is 53/1454211
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 1221,3573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1221,3573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1221,3573) x common factors =3 x 1 = 3
LCM(1221,3573) = ( 1221 × 3573 ) / 3
LCM(1221,3573) = 4362633 / 3
LCM(1221,3573) = 1454211
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 848/1221, 901/3573?
Answer: GCF of Numerators as per given numbers 848/1221, 901/3573 is
GCF of Numerators i.e. for 848,901 is 53
LCM of denominators i.e. for 1221,3573 is 1454211.
Thus, GCF of Fractions is 53/1454211.Finally, GCF of Fractions for 848/1221, 901/3573 is 53/1454211.