GCF of 1461/456, 7185/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1461/456, 7185/507 i.e 3/77064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1461/456, 7185/507.
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 1461/456,7185/507?
Given fractions are 1461/456,7185/507
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 1461/456,7185/507, numerators are 1461,7185
Denominators are 456,507
The GCF of 1461,7185 is 3 .
LCM of 456,507 is 77064.
The greatest common factor of 1461/456,7185/507 = [GCF of 1461,7185]/[LCM of 456,507]= 3/77064
Therefore, the GCF of 1461/456,7185/507 is 3/77064.
To find the highest common factor of 1461,7185, we have to find the factors of both numbers and list the highest common factor.
The factors of 1461 are 1, 3, 487, 1461
The factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185
The HCF of 1461,7185 is 3.
Lets's calculate GCF of 1461,7185
| 3 | 1461, 7185 |
| 487, 2395 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1461,7185 By Matching Biggest Common Factor Method
Now, list down the factors of 1461
:1,3,487,1461
Now, list down the factors of 7185
:1,3,5,15,479,1437,2395,7185
Greatest Common Factor
We found the factors 1461,7185 . The biggest common factor number is the GCF number.
So the greatest common factor 1461,7185 is 3.
Lets's calculate LCM of 456,507
| 3 | 456, 507 |
| 152, 169 |
∴ So the LCM of the given numbers is 3 x 152 x 169 = 77064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77064
Therefore, the GCF of Fractions 1461/456,7185/507 is 3/77064
Least Common Multiple of 456,507 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 456,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(456,507) x common factors =3 x 1 = 3
LCM(456,507) = ( 456 × 507 ) / 3
LCM(456,507) = 231192 / 3
LCM(456,507) = 77064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1461/456, 7185/507
1. What is the HCF of 1461,7185?
The HCF of 1461,7185 is 3
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 1461/456, 7185/507?
Answer: GCF of Numerators as per given numbers 1461/456, 7185/507 is
GCF of Numerators i.e. for 1461,7185 is 3
LCM of denominators i.e. for 456,507 is 77064.
Thus, GCF of Fractions is 3/77064.Finally, GCF of Fractions for 1461/456, 7185/507 is 3/77064.