Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 527/23,702/49,482/68
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 527,702,482
Greatest Common Factor of Numerators i.e. GCF of 527,702,482 is 1 .
LCM of Denominators means LCM of 23,49,68 as per the given fractions.
LCM of 23,49,68 is 76636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 527,702,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 527,702,482 . The biggest common factor number is the GCF number.
So the greatest common factor 527,702,482 is 1.
Lets's calculate LCM of 23,49,68
Given numbers has no common factors except 1. So, there LCM is their product i.e 76636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76636
Therefore, the GCF of Fractions 527/23,702/49,482/68 is 1/76636
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 23,49,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,49,68) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,49,68) x common factors =1 x 1 = 1
LCM(23,49,68) = ( 23 × 49 × 68 ) / 1
LCM(23,49,68) = 76636 / 1
LCM(23,49,68) = 76636
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 527/23, 702/49, 482/68?
Answer: GCF of Numerators as per given numbers 527/23, 702/49, 482/68 is
GCF of Numerators i.e. for 527,702,482 is 1
LCM of denominators i.e. for 23,49,68 is 76636.
Thus, GCF of Fractions is 1/76636.Finally, GCF of Fractions for 527/23, 702/49, 482/68 is 1/76636.