GCF of 8580/982, 6435/6473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8580/982, 6435/6473 i.e 2145/6356486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8580/982, 6435/6473.
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 8580/982,6435/6473?
Given fractions are 8580/982,6435/6473
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 8580/982,6435/6473, numerators are 8580,6435
Denominators are 982,6473
The GCF of 8580,6435 is 2145 .
LCM of 982,6473 is 6356486.
The greatest common factor of 8580/982,6435/6473 = [GCF of 8580,6435]/[LCM of 982,6473]= 2145/6356486
Therefore, the GCF of 8580/982,6435/6473 is 2145/6356486.
To find the highest common factor of 8580,6435, we have to find the factors of both numbers and list the highest common factor.
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 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 HCF of 8580,6435 is 2145.
Lets's calculate GCF of 8580,6435
| 3 | 8580, 6435 |
| 5 | 2860, 2145 |
| 11 | 572, 429 |
| 13 | 52, 39 |
| 4, 3 |
∴ So the GCF of the given numbers is 3 x 5 x 11 x 13 = 2145
Greatest Common Factor of 8580,6435 By Matching Biggest Common Factor Method
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
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
Greatest Common Factor
We found the factors 8580,6435 . The biggest common factor number is the GCF number.
So the greatest common factor 8580,6435 is 2145.
Lets's calculate LCM of 982,6473
Given numbers has no common factors except 1. So, there LCM is their product i.e 6356486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2145/6356486
Therefore, the GCF of Fractions 8580/982,6435/6473 is 2145/6356486
Least Common Multiple of 982,6473 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 982,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,6473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,6473) x common factors =1 x 1 = 1
LCM(982,6473) = ( 982 × 6473 ) / 1
LCM(982,6473) = 6356486 / 1
LCM(982,6473) = 6356486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8580/982, 6435/6473
1. What is the HCF of 8580,6435?
The HCF of 8580,6435 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 8580/982, 6435/6473?
Answer: GCF of Numerators as per given numbers 8580/982, 6435/6473 is
GCF of Numerators i.e. for 8580,6435 is 2145
LCM of denominators i.e. for 982,6473 is 6356486.
Thus, GCF of Fractions is 2145/6356486.Finally, GCF of Fractions for 8580/982, 6435/6473 is 2145/6356486.