Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6947/529,2276/9399
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 6947,2276
Greatest Common Factor of Numerators i.e. GCF of 6947,2276 is 1 .
LCM of Denominators means LCM of 529,9399 as per the given fractions.
LCM of 529,9399 is 4972071 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6947,2276
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6947
List of positive integer factors of 6947 that divides 6947 without a remainder.
1,6947
Factors of 2276
List of positive integer factors of 2276 that divides 2276 without a remainder.
1,2,4,569,1138,2276
Greatest Common Factor
We found the factors 6947,2276 . The biggest common factor number is the GCF number.
So the greatest common factor 6947,2276 is 1.
Lets's calculate LCM of 529,9399
Given numbers has no common factors except 1. So, there LCM is their product i.e 4972071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4972071
Therefore, the GCF of Fractions 6947/529,2276/9399 is 1/4972071
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 529,9399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,9399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,9399) x common factors =1 x 1 = 1
LCM(529,9399) = ( 529 × 9399 ) / 1
LCM(529,9399) = 4972071 / 1
LCM(529,9399) = 4972071
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 6947/529, 2276/9399?
Answer: GCF of Numerators as per given numbers 6947/529, 2276/9399 is
GCF of Numerators i.e. for 6947,2276 is 1
LCM of denominators i.e. for 529,9399 is 4972071.
Thus, GCF of Fractions is 1/4972071.Finally, GCF of Fractions for 6947/529, 2276/9399 is 1/4972071.