GCF of 455/69, 510/147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 455/69, 510/147 i.e 5/3381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/69, 510/147.
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 455/69,510/147?
Given fractions are 455/69,510/147
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 455/69,510/147, numerators are 455,510
Denominators are 69,147
The GCF of 455,510 is 5 .
LCM of 69,147 is 3381.
The greatest common factor of 455/69,510/147 = [GCF of 455,510]/[LCM of 69,147]= 5/3381
Therefore, the GCF of 455/69,510/147 is 5/3381.
To find the highest common factor of 455,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 455,510 is 5.
Lets's calculate GCF of 455,510
| 5 | 455, 510 |
| 91, 102 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 455,510 By Matching Biggest Common Factor Method
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 455,510 . The biggest common factor number is the GCF number.
So the greatest common factor 455,510 is 5.
Lets's calculate LCM of 69,147
| 3 | 69, 147 |
| 23, 49 |
∴ So the LCM of the given numbers is 3 x 23 x 49 = 3381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3381
Therefore, the GCF of Fractions 455/69,510/147 is 5/3381
Least Common Multiple of 69,147 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 69,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,147) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,147) x common factors =3 x 1 = 3
LCM(69,147) = ( 69 × 147 ) / 3
LCM(69,147) = 10143 / 3
LCM(69,147) = 3381
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 455/69, 510/147
1. What is the HCF of 455,510?
The HCF of 455,510 is 5
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 455/69, 510/147?
Answer: GCF of Numerators as per given numbers 455/69, 510/147 is
GCF of Numerators i.e. for 455,510 is 5
LCM of denominators i.e. for 69,147 is 3381.
Thus, GCF of Fractions is 5/3381.Finally, GCF of Fractions for 455/69, 510/147 is 5/3381.