GCF of 451/18, 418/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/18, 418/750 i.e 11/2250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/18, 418/750.
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 451/18,418/750?
Given fractions are 451/18,418/750
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 451/18,418/750, numerators are 451,418
Denominators are 18,750
The GCF of 451,418 is 11 .
LCM of 18,750 is 2250.
The greatest common factor of 451/18,418/750 = [GCF of 451,418]/[LCM of 18,750]= 11/2250
Therefore, the GCF of 451/18,418/750 is 11/2250.
To find the highest common factor of 451,418, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 451,418 is 11.
Lets's calculate GCF of 451,418
| 11 | 451, 418 |
| 41, 38 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 451,418 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 451,418 . The biggest common factor number is the GCF number.
So the greatest common factor 451,418 is 11.
Lets's calculate LCM of 18,750
| 2 | 18, 750 |
| 3 | 9, 375 |
| 3, 125 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 125 = 2250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2250
Therefore, the GCF of Fractions 451/18,418/750 is 11/2250
Least Common Multiple of 18,750 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 18,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,750) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,750) x common factors =6 x 1 = 6
LCM(18,750) = ( 18 × 750 ) / 6
LCM(18,750) = 13500 / 6
LCM(18,750) = 2250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 451/18, 418/750
1. What is the HCF of 451,418?
The HCF of 451,418 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 451/18, 418/750?
Answer: GCF of Numerators as per given numbers 451/18, 418/750 is
GCF of Numerators i.e. for 451,418 is 11
LCM of denominators i.e. for 18,750 is 2250.
Thus, GCF of Fractions is 11/2250.Finally, GCF of Fractions for 451/18, 418/750 is 11/2250.