Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/92,952/29,221/799
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 602,952,221
Greatest Common Factor of Numerators i.e. GCF of 602,952,221 is 1 .
LCM of Denominators means LCM of 92,29,799 as per the given fractions.
LCM of 92,29,799 is 2131732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 602,952,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 602,952,221 . The biggest common factor number is the GCF number.
So the greatest common factor 602,952,221 is 1.
Lets's calculate LCM of 92,29,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 2131732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2131732
Therefore, the GCF of Fractions 602/92,952/29,221/799 is 1/2131732
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 92,29,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,29,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,29,799) x common factors =1 x 1 = 1
LCM(92,29,799) = ( 92 × 29 × 799 ) / 1
LCM(92,29,799) = 2131732 / 1
LCM(92,29,799) = 2131732
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 602/92, 952/29, 221/799?
Answer: GCF of Numerators as per given numbers 602/92, 952/29, 221/799 is
GCF of Numerators i.e. for 602,952,221 is 1
LCM of denominators i.e. for 92,29,799 is 2131732.
Thus, GCF of Fractions is 1/2131732.Finally, GCF of Fractions for 602/92, 952/29, 221/799 is 1/2131732.