Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 350/172,552/979,158/747
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 350,552,158
Greatest Common Factor of Numerators i.e. GCF of 350,552,158 is 2 .
LCM of Denominators means LCM of 172,979,747 as per the given fractions.
LCM of 172,979,747 is 125785836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 350,552,158
2 | 350, 552, 158 |
175, 276, 79 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 350,552,158 . The biggest common factor number is the GCF number.
So the greatest common factor 350,552,158 is 2.
Lets's calculate LCM of 172,979,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 125785836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125785836
Therefore, the GCF of Fractions 350/172,552/979,158/747 is 2/125785836
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 172,979,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,979,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,979,747) x common factors =1 x 1 = 1
LCM(172,979,747) = ( 172 × 979 × 747 ) / 1
LCM(172,979,747) = 125785836 / 1
LCM(172,979,747) = 125785836
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 350/172, 552/979, 158/747?
Answer: GCF of Numerators as per given numbers 350/172, 552/979, 158/747 is
GCF of Numerators i.e. for 350,552,158 is 2
LCM of denominators i.e. for 172,979,747 is 125785836.
Thus, GCF of Fractions is 2/125785836.Finally, GCF of Fractions for 350/172, 552/979, 158/747 is 2/125785836.