Use our free GCF of Fractions Calculator tool to compute the GCF of 592/749, 258/827 i.e 2/619423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/749, 258/827.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/749,258/827
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 592/749,258/827, numerators are 592,258
Denominators are 749,827
The GCF of 592,258 is 2 .
LCM of 749,827 is 619423.
The greatest common factor of 592/749,258/827 = [GCF of 592,258]/[LCM of 749,827]= 2/619423
Therefore, the GCF of 592/749,258/827 is 2/619423.
To find the highest common factor of 592,258, 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 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 592,258 is 2.
Lets's calculate GCF of 592,258
2 | 592, 258 |
296, 129 |
∴ 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 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 592,258 . The biggest common factor number is the GCF number.
So the greatest common factor 592,258 is 2.
Lets's calculate LCM of 749,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 619423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/619423
Therefore, the GCF of Fractions 592/749,258/827 is 2/619423
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 749,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,827) x common factors =1 x 1 = 1
LCM(749,827) = ( 749 × 827 ) / 1
LCM(749,827) = 619423 / 1
LCM(749,827) = 619423
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 592,258?
The HCF of 592,258 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 592/749, 258/827?
Answer: GCF of Numerators as per given numbers 592/749, 258/827 is
GCF of Numerators i.e. for 592,258 is 2
LCM of denominators i.e. for 749,827 is 619423.
Thus, GCF of Fractions is 2/619423.Finally, GCF of Fractions for 592/749, 258/827 is 2/619423.