Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/554,532/175,174/279
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 578,532,174
Greatest Common Factor of Numerators i.e. GCF of 578,532,174 is 2 .
LCM of Denominators means LCM of 554,175,279 as per the given fractions.
LCM of 554,175,279 is 27049050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,532,174
2 | 578, 532, 174 |
289, 266, 87 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 578,532,174 . The biggest common factor number is the GCF number.
So the greatest common factor 578,532,174 is 2.
Lets's calculate LCM of 554,175,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 27049050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27049050
Therefore, the GCF of Fractions 578/554,532/175,174/279 is 2/27049050
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 554,175,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,175,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,175,279) x common factors =1 x 1 = 1
LCM(554,175,279) = ( 554 × 175 × 279 ) / 1
LCM(554,175,279) = 27049050 / 1
LCM(554,175,279) = 27049050
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 578/554, 532/175, 174/279?
Answer: GCF of Numerators as per given numbers 578/554, 532/175, 174/279 is
GCF of Numerators i.e. for 578,532,174 is 2
LCM of denominators i.e. for 554,175,279 is 27049050.
Thus, GCF of Fractions is 2/27049050.Finally, GCF of Fractions for 578/554, 532/175, 174/279 is 2/27049050.