GCF of 900/12, 575/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 900/12, 575/7132 i.e 25/21396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/12, 575/7132.
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 900/12,575/7132?
Given fractions are 900/12,575/7132
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 900/12,575/7132, numerators are 900,575
Denominators are 12,7132
The GCF of 900,575 is 25 .
LCM of 12,7132 is 21396.
The greatest common factor of 900/12,575/7132 = [GCF of 900,575]/[LCM of 12,7132]= 25/21396
Therefore, the GCF of 900/12,575/7132 is 25/21396.
To find the highest common factor of 900,575, we have to find the factors of both numbers and list the highest common factor.
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 factors of 575 are 1, 5, 23, 25, 115, 575
The HCF of 900,575 is 25.
Lets's calculate GCF of 900,575
| 5 | 900, 575 |
| 5 | 180, 115 |
| 36, 23 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 900,575 By Matching Biggest Common Factor Method
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
Now, list down the factors of 575
:1,5,23,25,115,575
Greatest Common Factor
We found the factors 900,575 . The biggest common factor number is the GCF number.
So the greatest common factor 900,575 is 25.
Lets's calculate LCM of 12,7132
| 2 | 12, 7132 |
| 2 | 6, 3566 |
| 3, 1783 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1783 = 21396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/21396
Therefore, the GCF of Fractions 900/12,575/7132 is 25/21396
Least Common Multiple of 12,7132 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 12,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,7132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,7132) x common factors =4 x 1 = 4
LCM(12,7132) = ( 12 × 7132 ) / 4
LCM(12,7132) = 85584 / 4
LCM(12,7132) = 21396
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FAQs on GCF of Fractions of 900/12, 575/7132
1. What is the HCF of 900,575?
The HCF of 900,575 is 25
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 900/12, 575/7132?
Answer: GCF of Numerators as per given numbers 900/12, 575/7132 is
GCF of Numerators i.e. for 900,575 is 25
LCM of denominators i.e. for 12,7132 is 21396.
Thus, GCF of Fractions is 25/21396.Finally, GCF of Fractions for 900/12, 575/7132 is 25/21396.