Use our free GCF of Fractions Calculator tool to compute the GCF of 532/339, 602/431 i.e 14/146109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/339, 602/431.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/339,602/431
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 532/339,602/431, numerators are 532,602
Denominators are 339,431
The GCF of 532,602 is 14 .
LCM of 339,431 is 146109.
The greatest common factor of 532/339,602/431 = [GCF of 532,602]/[LCM of 339,431]= 14/146109
Therefore, the GCF of 532/339,602/431 is 14/146109.
To find the highest common factor of 532,602, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 532,602 is 14.
Lets's calculate GCF of 532,602
2 | 532, 602 |
7 | 266, 301 |
38, 43 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 532,602 . The biggest common factor number is the GCF number.
So the greatest common factor 532,602 is 14.
Lets's calculate LCM of 339,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 146109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/146109
Therefore, the GCF of Fractions 532/339,602/431 is 14/146109
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 339,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,431) x common factors =1 x 1 = 1
LCM(339,431) = ( 339 × 431 ) / 1
LCM(339,431) = 146109 / 1
LCM(339,431) = 146109
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 532,602?
The HCF of 532,602 is 14
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 532/339, 602/431?
Answer: GCF of Numerators as per given numbers 532/339, 602/431 is
GCF of Numerators i.e. for 532,602 is 14
LCM of denominators i.e. for 339,431 is 146109.
Thus, GCF of Fractions is 14/146109.Finally, GCF of Fractions for 532/339, 602/431 is 14/146109.