Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8964/637,7351/353
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 8964,7351
Greatest Common Factor of Numerators i.e. GCF of 8964,7351 is 1 .
LCM of Denominators means LCM of 637,353 as per the given fractions.
LCM of 637,353 is 224861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8964,7351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8964
List of positive integer factors of 8964 that divides 8964 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964
Factors of 7351
List of positive integer factors of 7351 that divides 7351 without a remainder.
1,7351
Greatest Common Factor
We found the factors 8964,7351 . The biggest common factor number is the GCF number.
So the greatest common factor 8964,7351 is 1.
Lets's calculate LCM of 637,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 224861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224861
Therefore, the GCF of Fractions 8964/637,7351/353 is 1/224861
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 637,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,353) x common factors =1 x 1 = 1
LCM(637,353) = ( 637 × 353 ) / 1
LCM(637,353) = 224861 / 1
LCM(637,353) = 224861
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 8964/637, 7351/353?
Answer: GCF of Numerators as per given numbers 8964/637, 7351/353 is
GCF of Numerators i.e. for 8964,7351 is 1
LCM of denominators i.e. for 637,353 is 224861.
Thus, GCF of Fractions is 1/224861.Finally, GCF of Fractions for 8964/637, 7351/353 is 1/224861.