Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/237,248/207
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 898,248
Greatest Common Factor of Numerators i.e. GCF of 898,248 is 2 .
LCM of Denominators means LCM of 237,207 as per the given fractions.
LCM of 237,207 is 16353 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,248
2 | 898, 248 |
449, 124 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 898,248 . The biggest common factor number is the GCF number.
So the greatest common factor 898,248 is 2.
Lets's calculate LCM of 237,207
3 | 237, 207 |
79, 69 |
∴ So the LCM of the given numbers is 3 x 79 x 69 = 16353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16353
Therefore, the GCF of Fractions 898/237,248/207 is 2/16353
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 237,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,207) x common factors =3 x 1 = 3
LCM(237,207) = ( 237 × 207 ) / 3
LCM(237,207) = 49059 / 3
LCM(237,207) = 16353
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 898/237, 248/207?
Answer: GCF of Numerators as per given numbers 898/237, 248/207 is
GCF of Numerators i.e. for 898,248 is 2
LCM of denominators i.e. for 237,207 is 16353.
Thus, GCF of Fractions is 2/16353.Finally, GCF of Fractions for 898/237, 248/207 is 2/16353.