Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/39,84/79,182/236
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 61,84,182
Greatest Common Factor of Numerators i.e. GCF of 61,84,182 is 1 .
LCM of Denominators means LCM of 39,79,236 as per the given fractions.
LCM of 39,79,236 is 727116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,84,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 61,84,182 . The biggest common factor number is the GCF number.
So the greatest common factor 61,84,182 is 1.
Lets's calculate LCM of 39,79,236
Given numbers has no common factors except 1. So, there LCM is their product i.e 727116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/727116
Therefore, the GCF of Fractions 61/39,84/79,182/236 is 1/727116
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 39,79,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,79,236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,79,236) x common factors =1 x 1 = 1
LCM(39,79,236) = ( 39 × 79 × 236 ) / 1
LCM(39,79,236) = 727116 / 1
LCM(39,79,236) = 727116
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 61/39, 84/79, 182/236?
Answer: GCF of Numerators as per given numbers 61/39, 84/79, 182/236 is
GCF of Numerators i.e. for 61,84,182 is 1
LCM of denominators i.e. for 39,79,236 is 727116.
Thus, GCF of Fractions is 1/727116.Finally, GCF of Fractions for 61/39, 84/79, 182/236 is 1/727116.