Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9007/32,2971/262
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 9007,2971
Greatest Common Factor of Numerators i.e. GCF of 9007,2971 is 1 .
LCM of Denominators means LCM of 32,262 as per the given fractions.
LCM of 32,262 is 4192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9007,2971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9007
List of positive integer factors of 9007 that divides 9007 without a remainder.
1,9007
Factors of 2971
List of positive integer factors of 2971 that divides 2971 without a remainder.
1,2971
Greatest Common Factor
We found the factors 9007,2971 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,2971 is 1.
Lets's calculate LCM of 32,262
2 | 32, 262 |
16, 131 |
∴ So the LCM of the given numbers is 2 x 16 x 131 = 4192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4192
Therefore, the GCF of Fractions 9007/32,2971/262 is 1/4192
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 32,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,262) x common factors =2 x 1 = 2
LCM(32,262) = ( 32 × 262 ) / 2
LCM(32,262) = 8384 / 2
LCM(32,262) = 4192
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 9007/32, 2971/262?
Answer: GCF of Numerators as per given numbers 9007/32, 2971/262 is
GCF of Numerators i.e. for 9007,2971 is 1
LCM of denominators i.e. for 32,262 is 4192.
Thus, GCF of Fractions is 1/4192.Finally, GCF of Fractions for 9007/32, 2971/262 is 1/4192.