Use our free GCF of Fractions Calculator tool to compute the GCF of 252/688, 924/133 i.e 84/91504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/688, 924/133.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/688,924/133
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 252/688,924/133, numerators are 252,924
Denominators are 688,133
The GCF of 252,924 is 84 .
LCM of 688,133 is 91504.
The greatest common factor of 252/688,924/133 = [GCF of 252,924]/[LCM of 688,133]= 84/91504
Therefore, the GCF of 252/688,924/133 is 84/91504.
To find the highest common factor of 252,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 252,924 is 84.
Lets's calculate GCF of 252,924
2 | 252, 924 |
2 | 126, 462 |
3 | 63, 231 |
7 | 21, 77 |
3, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 252,924 . The biggest common factor number is the GCF number.
So the greatest common factor 252,924 is 84.
Lets's calculate LCM of 688,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 91504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/91504
Therefore, the GCF of Fractions 252/688,924/133 is 84/91504
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 688,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,133) x common factors =1 x 1 = 1
LCM(688,133) = ( 688 × 133 ) / 1
LCM(688,133) = 91504 / 1
LCM(688,133) = 91504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 252,924?
The HCF of 252,924 is 84
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 252/688, 924/133?
Answer: GCF of Numerators as per given numbers 252/688, 924/133 is
GCF of Numerators i.e. for 252,924 is 84
LCM of denominators i.e. for 688,133 is 91504.
Thus, GCF of Fractions is 84/91504.Finally, GCF of Fractions for 252/688, 924/133 is 84/91504.