Use our free GCF of Fractions Calculator tool to compute the GCF of 1562/458, 2764/3234 i.e 2/740586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1562/458, 2764/3234.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1562/458,2764/3234
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 1562/458,2764/3234, numerators are 1562,2764
Denominators are 458,3234
The GCF of 1562,2764 is 2 .
LCM of 458,3234 is 740586.
The greatest common factor of 1562/458,2764/3234 = [GCF of 1562,2764]/[LCM of 458,3234]= 2/740586
Therefore, the GCF of 1562/458,2764/3234 is 2/740586.
To find the highest common factor of 1562,2764, we have to find the factors of both numbers and list the highest common factor.
The factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562
The factors of 2764 are 1, 2, 4, 691, 1382, 2764
The HCF of 1562,2764 is 2.
Lets's calculate GCF of 1562,2764
2 | 1562, 2764 |
781, 1382 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1562
:1,2,11,22,71,142,781,1562
Now, list down the factors of 2764
:1,2,4,691,1382,2764
Greatest Common Factor
We found the factors 1562,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 1562,2764 is 2.
Lets's calculate LCM of 458,3234
2 | 458, 3234 |
229, 1617 |
∴ So the LCM of the given numbers is 2 x 229 x 1617 = 740586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/740586
Therefore, the GCF of Fractions 1562/458,2764/3234 is 2/740586
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 458,3234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,3234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,3234) x common factors =2 x 1 = 2
LCM(458,3234) = ( 458 × 3234 ) / 2
LCM(458,3234) = 1481172 / 2
LCM(458,3234) = 740586
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1562,2764?
The HCF of 1562,2764 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 1562/458, 2764/3234?
Answer: GCF of Numerators as per given numbers 1562/458, 2764/3234 is
GCF of Numerators i.e. for 1562,2764 is 2
LCM of denominators i.e. for 458,3234 is 740586.
Thus, GCF of Fractions is 2/740586.Finally, GCF of Fractions for 1562/458, 2764/3234 is 2/740586.