GCF of 121/312, 451/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 121/312, 451/900 i.e 11/23400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/312, 451/900.
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 121/312,451/900?
Given fractions are 121/312,451/900
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 121/312,451/900, numerators are 121,451
Denominators are 312,900
The GCF of 121,451 is 11 .
LCM of 312,900 is 23400.
The greatest common factor of 121/312,451/900 = [GCF of 121,451]/[LCM of 312,900]= 11/23400
Therefore, the GCF of 121/312,451/900 is 11/23400.
To find the highest common factor of 121,451, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 451 are 1, 11, 41, 451
The HCF of 121,451 is 11.
Lets's calculate GCF of 121,451
| 11 | 121, 451 |
| 11, 41 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 121,451 By Matching Biggest Common Factor Method
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 451
:1,11,41,451
Greatest Common Factor
We found the factors 121,451 . The biggest common factor number is the GCF number.
So the greatest common factor 121,451 is 11.
Lets's calculate LCM of 312,900
| 2 | 312, 900 |
| 2 | 156, 450 |
| 3 | 78, 225 |
| 26, 75 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 75 = 23400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/23400
Therefore, the GCF of Fractions 121/312,451/900 is 11/23400
Least Common Multiple of 312,900 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 312,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,900) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(312,900) x common factors =12 x 1 = 12
LCM(312,900) = ( 312 × 900 ) / 12
LCM(312,900) = 280800 / 12
LCM(312,900) = 23400
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FAQs on GCF of Fractions of 121/312, 451/900
1. What is the HCF of 121,451?
The HCF of 121,451 is 11
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 121/312, 451/900?
Answer: GCF of Numerators as per given numbers 121/312, 451/900 is
GCF of Numerators i.e. for 121,451 is 11
LCM of denominators i.e. for 312,900 is 23400.
Thus, GCF of Fractions is 11/23400.Finally, GCF of Fractions for 121/312, 451/900 is 11/23400.