Use our free GCF of Fractions Calculator tool to compute the GCF of 568/224, 114/206 i.e 2/23072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/224, 114/206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/224,114/206
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 568/224,114/206, numerators are 568,114
Denominators are 224,206
The GCF of 568,114 is 2 .
LCM of 224,206 is 23072.
The greatest common factor of 568/224,114/206 = [GCF of 568,114]/[LCM of 224,206]= 2/23072
Therefore, the GCF of 568/224,114/206 is 2/23072.
To find the highest common factor of 568,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 568,114 is 2.
Lets's calculate GCF of 568,114
2 | 568, 114 |
284, 57 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 568,114 . The biggest common factor number is the GCF number.
So the greatest common factor 568,114 is 2.
Lets's calculate LCM of 224,206
2 | 224, 206 |
112, 103 |
∴ So the LCM of the given numbers is 2 x 112 x 103 = 23072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23072
Therefore, the GCF of Fractions 568/224,114/206 is 2/23072
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 224,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,206) x common factors =2 x 1 = 2
LCM(224,206) = ( 224 × 206 ) / 2
LCM(224,206) = 46144 / 2
LCM(224,206) = 23072
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 568,114?
The HCF of 568,114 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 568/224, 114/206?
Answer: GCF of Numerators as per given numbers 568/224, 114/206 is
GCF of Numerators i.e. for 568,114 is 2
LCM of denominators i.e. for 224,206 is 23072.
Thus, GCF of Fractions is 2/23072.Finally, GCF of Fractions for 568/224, 114/206 is 2/23072.