GCF of 6564/510, 6275/1155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6564/510, 6275/1155 i.e 1/39270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6564/510, 6275/1155.
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 6564/510,6275/1155?
Given fractions are 6564/510,6275/1155
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 6564/510,6275/1155, numerators are 6564,6275
Denominators are 510,1155
The GCF of 6564,6275 is 1 .
LCM of 510,1155 is 39270.
The greatest common factor of 6564/510,6275/1155 = [GCF of 6564,6275]/[LCM of 510,1155]= 1/39270
Therefore, the GCF of 6564/510,6275/1155 is 1/39270.
To find the highest common factor of 6564,6275, we have to find the factors of both numbers and list the highest common factor.
The factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564
The factors of 6275 are 1, 5, 25, 251, 1255, 6275
The HCF of 6564,6275 is 1.
Lets's calculate GCF of 6564,6275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6564,6275 By Matching Biggest Common Factor Method
Now, list down the factors of 6564
:1,2,3,4,6,12,547,1094,1641,2188,3282,6564
Now, list down the factors of 6275
:1,5,25,251,1255,6275
Greatest Common Factor
We found the factors 6564,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 6564,6275 is 1.
Lets's calculate LCM of 510,1155
| 3 | 510, 1155 |
| 5 | 170, 385 |
| 34, 77 |
∴ So the LCM of the given numbers is 3 x 5 x 34 x 77 = 39270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39270
Therefore, the GCF of Fractions 6564/510,6275/1155 is 1/39270
Least Common Multiple of 510,1155 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 510,1155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,1155) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(510,1155) x common factors =15 x 1 = 15
LCM(510,1155) = ( 510 × 1155 ) / 15
LCM(510,1155) = 589050 / 15
LCM(510,1155) = 39270
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6564/510, 6275/1155
1. What is the HCF of 6564,6275?
The HCF of 6564,6275 is 1
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 6564/510, 6275/1155?
Answer: GCF of Numerators as per given numbers 6564/510, 6275/1155 is
GCF of Numerators i.e. for 6564,6275 is 1
LCM of denominators i.e. for 510,1155 is 39270.
Thus, GCF of Fractions is 1/39270.Finally, GCF of Fractions for 6564/510, 6275/1155 is 1/39270.