Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/83,78/35,52/141,154/181
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 1,78,52,154
Greatest Common Factor of Numerators i.e. GCF of 1,78,52,154 is 1 .
LCM of Denominators means LCM of 83,35,141,181 as per the given fractions.
LCM of 83,35,141,181 is 74138505 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,78,52,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 1,78,52,154 . The biggest common factor number is the GCF number.
So the greatest common factor 1,78,52,154 is 1.
Lets's calculate LCM of 83,35,141,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 74138505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74138505
Therefore, the GCF of Fractions 1/83,78/35,52/141,154/181 is 1/74138505
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 83,35,141,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,35,141,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,35,141,181) x common factors =1 x 1 = 1
LCM(83,35,141,181) = ( 83 × 35 × 141 × 181 ) / 1
LCM(83,35,141,181) = 74138505 / 1
LCM(83,35,141,181) = 74138505
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 1/83, 78/35, 52/141, 154/181?
Answer: GCF of Numerators as per given numbers 1/83, 78/35, 52/141, 154/181 is
GCF of Numerators i.e. for 1,78,52,154 is 1
LCM of denominators i.e. for 83,35,141,181 is 74138505.
Thus, GCF of Fractions is 1/74138505.Finally, GCF of Fractions for 1/83, 78/35, 52/141, 154/181 is 1/74138505.