GCF of 252/324, 900/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 252/324, 900/973 i.e 36/315252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/324, 900/973.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 252/324,900/973?
Given fractions are 252/324,900/973
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 252/324,900/973, numerators are 252,900
Denominators are 324,973
The GCF of 252,900 is 36 .
LCM of 324,973 is 315252.
The greatest common factor of 252/324,900/973 = [GCF of 252,900]/[LCM of 324,973]= 36/315252
Therefore, the GCF of 252/324,900/973 is 36/315252.
To find the highest common factor of 252,900, 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 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 252,900 is 36.
Lets's calculate GCF of 252,900
| 2 | 252, 900 |
| 2 | 126, 450 |
| 3 | 63, 225 |
| 3 | 21, 75 |
| 7, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 252,900 By Matching Biggest Common Factor Method
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 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 252,900 . The biggest common factor number is the GCF number.
So the greatest common factor 252,900 is 36.
Lets's calculate LCM of 324,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 315252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/315252
Therefore, the GCF of Fractions 252/324,900/973 is 36/315252
Least Common Multiple of 324,973 with GCF Formula
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 324,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,973) x common factors =1 x 1 = 1
LCM(324,973) = ( 324 × 973 ) / 1
LCM(324,973) = 315252 / 1
LCM(324,973) = 315252
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FAQs on GCF of Fractions of 252/324, 900/973
1. What is the HCF of 252,900?
The HCF of 252,900 is 36
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 252/324, 900/973?
Answer: GCF of Numerators as per given numbers 252/324, 900/973 is
GCF of Numerators i.e. for 252,900 is 36
LCM of denominators i.e. for 324,973 is 315252.
Thus, GCF of Fractions is 36/315252.Finally, GCF of Fractions for 252/324, 900/973 is 36/315252.