Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/925,166/247
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 249,166
Greatest Common Factor of Numerators i.e. GCF of 249,166 is 83 .
LCM of Denominators means LCM of 925,247 as per the given fractions.
LCM of 925,247 is 228475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 249,166
83 | 249, 166 |
3, 2 |
∴ So the GCF of the given numbers is 83 = 83
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 249,166 . The biggest common factor number is the GCF number.
So the greatest common factor 249,166 is 83.
Lets's calculate LCM of 925,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 228475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/228475
Therefore, the GCF of Fractions 249/925,166/247 is 83/228475
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 925,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,247) x common factors =1 x 1 = 1
LCM(925,247) = ( 925 × 247 ) / 1
LCM(925,247) = 228475 / 1
LCM(925,247) = 228475
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 249/925, 166/247?
Answer: GCF of Numerators as per given numbers 249/925, 166/247 is
GCF of Numerators i.e. for 249,166 is 83
LCM of denominators i.e. for 925,247 is 228475.
Thus, GCF of Fractions is 83/228475.Finally, GCF of Fractions for 249/925, 166/247 is 83/228475.