Use our free GCF of Fractions Calculator tool to compute the GCF of 914/592, 282/924 i.e 2/136752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/592, 282/924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 914/592,282/924
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 914/592,282/924, numerators are 914,282
Denominators are 592,924
The GCF of 914,282 is 2 .
LCM of 592,924 is 136752.
The greatest common factor of 914/592,282/924 = [GCF of 914,282]/[LCM of 592,924]= 2/136752
Therefore, the GCF of 914/592,282/924 is 2/136752.
To find the highest common factor of 914,282, we have to find the factors of both numbers and list the highest common factor.
The factors of 914 are 1, 2, 457, 914
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 914,282 is 2.
Lets's calculate GCF of 914,282
2 | 914, 282 |
457, 141 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 914
:1,2,457,914
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 914,282 . The biggest common factor number is the GCF number.
So the greatest common factor 914,282 is 2.
Lets's calculate LCM of 592,924
2 | 592, 924 |
2 | 296, 462 |
148, 231 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 231 = 136752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136752
Therefore, the GCF of Fractions 914/592,282/924 is 2/136752
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 592,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(592,924) x common factors =4 x 1 = 4
LCM(592,924) = ( 592 × 924 ) / 4
LCM(592,924) = 547008 / 4
LCM(592,924) = 136752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 914,282?
The HCF of 914,282 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 914/592, 282/924?
Answer: GCF of Numerators as per given numbers 914/592, 282/924 is
GCF of Numerators i.e. for 914,282 is 2
LCM of denominators i.e. for 592,924 is 136752.
Thus, GCF of Fractions is 2/136752.Finally, GCF of Fractions for 914/592, 282/924 is 2/136752.