GCF of 6435/510, 8580/4484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6435/510, 8580/4484 i.e 2145/1143420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6435/510, 8580/4484.
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 6435/510,8580/4484?
Given fractions are 6435/510,8580/4484
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 6435/510,8580/4484, numerators are 6435,8580
Denominators are 510,4484
The GCF of 6435,8580 is 2145 .
LCM of 510,4484 is 1143420.
The greatest common factor of 6435/510,8580/4484 = [GCF of 6435,8580]/[LCM of 510,4484]= 2145/1143420
Therefore, the GCF of 6435/510,8580/4484 is 2145/1143420.
To find the highest common factor of 6435,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 6435,8580 is 2145.
Lets's calculate GCF of 6435,8580
| 3 | 6435, 8580 |
| 5 | 2145, 2860 |
| 11 | 429, 572 |
| 13 | 39, 52 |
| 3, 4 |
∴ So the GCF of the given numbers is 3 x 5 x 11 x 13 = 2145
Greatest Common Factor of 6435,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 6435
:1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 6435,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,8580 is 2145.
Lets's calculate LCM of 510,4484
| 2 | 510, 4484 |
| 255, 2242 |
∴ So the LCM of the given numbers is 2 x 255 x 2242 = 1143420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2145/1143420
Therefore, the GCF of Fractions 6435/510,8580/4484 is 2145/1143420
Least Common Multiple of 510,4484 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 510,4484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,4484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,4484) x common factors =2 x 1 = 2
LCM(510,4484) = ( 510 × 4484 ) / 2
LCM(510,4484) = 2286840 / 2
LCM(510,4484) = 1143420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6435/510, 8580/4484
1. What is the HCF of 6435,8580?
The HCF of 6435,8580 is 2145
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 6435/510, 8580/4484?
Answer: GCF of Numerators as per given numbers 6435/510, 8580/4484 is
GCF of Numerators i.e. for 6435,8580 is 2145
LCM of denominators i.e. for 510,4484 is 1143420.
Thus, GCF of Fractions is 2145/1143420.Finally, GCF of Fractions for 6435/510, 8580/4484 is 2145/1143420.