Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/51,67/19,17/727,218/392
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 1,67,17,218
Greatest Common Factor of Numerators i.e. GCF of 1,67,17,218 is 1 .
LCM of Denominators means LCM of 51,19,727,392 as per the given fractions.
LCM of 51,19,727,392 is 276149496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,67,17,218
∴ 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 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 1,67,17,218 . The biggest common factor number is the GCF number.
So the greatest common factor 1,67,17,218 is 1.
Lets's calculate LCM of 51,19,727,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 276149496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276149496
Therefore, the GCF of Fractions 1/51,67/19,17/727,218/392 is 1/276149496
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 51,19,727,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,19,727,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,19,727,392) x common factors =1 x 1 = 1
LCM(51,19,727,392) = ( 51 × 19 × 727 × 392 ) / 1
LCM(51,19,727,392) = 276149496 / 1
LCM(51,19,727,392) = 276149496
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 1/51, 67/19, 17/727, 218/392?
Answer: GCF of Numerators as per given numbers 1/51, 67/19, 17/727, 218/392 is
GCF of Numerators i.e. for 1,67,17,218 is 1
LCM of denominators i.e. for 51,19,727,392 is 276149496.
Thus, GCF of Fractions is 1/276149496.Finally, GCF of Fractions for 1/51, 67/19, 17/727, 218/392 is 1/276149496.