Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/35,516/72,142/71
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 730,516,142
Greatest Common Factor of Numerators i.e. GCF of 730,516,142 is 2 .
LCM of Denominators means LCM of 35,72,71 as per the given fractions.
LCM of 35,72,71 is 178920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 730,516,142
2 | 730, 516, 142 |
365, 258, 71 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 730,516,142 . The biggest common factor number is the GCF number.
So the greatest common factor 730,516,142 is 2.
Lets's calculate LCM of 35,72,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 178920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/178920
Therefore, the GCF of Fractions 730/35,516/72,142/71 is 2/178920
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 35,72,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,72,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,72,71) x common factors =1 x 1 = 1
LCM(35,72,71) = ( 35 × 72 × 71 ) / 1
LCM(35,72,71) = 178920 / 1
LCM(35,72,71) = 178920
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 730/35, 516/72, 142/71?
Answer: GCF of Numerators as per given numbers 730/35, 516/72, 142/71 is
GCF of Numerators i.e. for 730,516,142 is 2
LCM of denominators i.e. for 35,72,71 is 178920.
Thus, GCF of Fractions is 2/178920.Finally, GCF of Fractions for 730/35, 516/72, 142/71 is 2/178920.