Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/47,527/7294
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 164,527
Greatest Common Factor of Numerators i.e. GCF of 164,527 is 1 .
LCM of Denominators means LCM of 47,7294 as per the given fractions.
LCM of 47,7294 is 342818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 164,527 . The biggest common factor number is the GCF number.
So the greatest common factor 164,527 is 1.
Lets's calculate LCM of 47,7294
Given numbers has no common factors except 1. So, there LCM is their product i.e 342818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342818
Therefore, the GCF of Fractions 164/47,527/7294 is 1/342818
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 47,7294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,7294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,7294) x common factors =1 x 1 = 1
LCM(47,7294) = ( 47 × 7294 ) / 1
LCM(47,7294) = 342818 / 1
LCM(47,7294) = 342818
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 164/47, 527/7294?
Answer: GCF of Numerators as per given numbers 164/47, 527/7294 is
GCF of Numerators i.e. for 164,527 is 1
LCM of denominators i.e. for 47,7294 is 342818.
Thus, GCF of Fractions is 1/342818.Finally, GCF of Fractions for 164/47, 527/7294 is 1/342818.