Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 167/841,583/247,116/505
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 167,583,116
Greatest Common Factor of Numerators i.e. GCF of 167,583,116 is 1 .
LCM of Denominators means LCM of 841,247,505 as per the given fractions.
LCM of 841,247,505 is 104902135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 167,583,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 167,583,116 . The biggest common factor number is the GCF number.
So the greatest common factor 167,583,116 is 1.
Lets's calculate LCM of 841,247,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 104902135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104902135
Therefore, the GCF of Fractions 167/841,583/247,116/505 is 1/104902135
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 841,247,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,247,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,247,505) x common factors =1 x 1 = 1
LCM(841,247,505) = ( 841 × 247 × 505 ) / 1
LCM(841,247,505) = 104902135 / 1
LCM(841,247,505) = 104902135
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 167/841, 583/247, 116/505?
Answer: GCF of Numerators as per given numbers 167/841, 583/247, 116/505 is
GCF of Numerators i.e. for 167,583,116 is 1
LCM of denominators i.e. for 841,247,505 is 104902135.
Thus, GCF of Fractions is 1/104902135.Finally, GCF of Fractions for 167/841, 583/247, 116/505 is 1/104902135.