Use our free GCF of Fractions Calculator tool to compute the GCF of 592/562, 430/681 i.e 2/382722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/562, 430/681.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/562,430/681
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 592/562,430/681, numerators are 592,430
Denominators are 562,681
The GCF of 592,430 is 2 .
LCM of 562,681 is 382722.
The greatest common factor of 592/562,430/681 = [GCF of 592,430]/[LCM of 562,681]= 2/382722
Therefore, the GCF of 592/562,430/681 is 2/382722.
To find the highest common factor of 592,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 592,430 is 2.
Lets's calculate GCF of 592,430
2 | 592, 430 |
296, 215 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 592
:1,2,4,8,16,37,74,148,296,592
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 592,430 . The biggest common factor number is the GCF number.
So the greatest common factor 592,430 is 2.
Lets's calculate LCM of 562,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 382722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382722
Therefore, the GCF of Fractions 592/562,430/681 is 2/382722
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 562,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,681) x common factors =1 x 1 = 1
LCM(562,681) = ( 562 × 681 ) / 1
LCM(562,681) = 382722 / 1
LCM(562,681) = 382722
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 592,430?
The HCF of 592,430 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 592/562, 430/681?
Answer: GCF of Numerators as per given numbers 592/562, 430/681 is
GCF of Numerators i.e. for 592,430 is 2
LCM of denominators i.e. for 562,681 is 382722.
Thus, GCF of Fractions is 2/382722.Finally, GCF of Fractions for 592/562, 430/681 is 2/382722.