Use our free GCF of Fractions Calculator tool to compute the GCF of 903/714, 562/234 i.e 1/27846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/714, 562/234.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/714,562/234
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 903/714,562/234, numerators are 903,562
Denominators are 714,234
The GCF of 903,562 is 1 .
LCM of 714,234 is 27846.
The greatest common factor of 903/714,562/234 = [GCF of 903,562]/[LCM of 714,234]= 1/27846
Therefore, the GCF of 903/714,562/234 is 1/27846.
To find the highest common factor of 903,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 562 are 1, 2, 281, 562
The HCF of 903,562 is 1.
Lets's calculate GCF of 903,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 903,562 . The biggest common factor number is the GCF number.
So the greatest common factor 903,562 is 1.
Lets's calculate LCM of 714,234
2 | 714, 234 |
3 | 357, 117 |
119, 39 |
∴ So the LCM of the given numbers is 2 x 3 x 119 x 39 = 27846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27846
Therefore, the GCF of Fractions 903/714,562/234 is 1/27846
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 714,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,234) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(714,234) x common factors =6 x 1 = 6
LCM(714,234) = ( 714 × 234 ) / 6
LCM(714,234) = 167076 / 6
LCM(714,234) = 27846
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 903,562?
The HCF of 903,562 is 1
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 903/714, 562/234?
Answer: GCF of Numerators as per given numbers 903/714, 562/234 is
GCF of Numerators i.e. for 903,562 is 1
LCM of denominators i.e. for 714,234 is 27846.
Thus, GCF of Fractions is 1/27846.Finally, GCF of Fractions for 903/714, 562/234 is 1/27846.