GCF of 6390/282, 8484/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6390/282, 8484/521 i.e 6/146922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6390/282, 8484/521.
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 6390/282,8484/521?
Given fractions are 6390/282,8484/521
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 6390/282,8484/521, numerators are 6390,8484
Denominators are 282,521
The GCF of 6390,8484 is 6 .
LCM of 282,521 is 146922.
The greatest common factor of 6390/282,8484/521 = [GCF of 6390,8484]/[LCM of 282,521]= 6/146922
Therefore, the GCF of 6390/282,8484/521 is 6/146922.
To find the highest common factor of 6390,8484, we have to find the factors of both numbers and list the highest common factor.
The factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390
The factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The HCF of 6390,8484 is 6.
Lets's calculate GCF of 6390,8484
| 2 | 6390, 8484 |
| 3 | 3195, 4242 |
| 1065, 1414 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6390,8484 By Matching Biggest Common Factor Method
Now, list down the factors of 6390
:1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Now, list down the factors of 8484
:1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Greatest Common Factor
We found the factors 6390,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 6390,8484 is 6.
Lets's calculate LCM of 282,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 146922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/146922
Therefore, the GCF of Fractions 6390/282,8484/521 is 6/146922
Least Common Multiple of 282,521 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 282,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,521) x common factors =1 x 1 = 1
LCM(282,521) = ( 282 × 521 ) / 1
LCM(282,521) = 146922 / 1
LCM(282,521) = 146922
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FAQs on GCF of Fractions of 6390/282, 8484/521
1. What is the HCF of 6390,8484?
The HCF of 6390,8484 is 6
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 6390/282, 8484/521?
Answer: GCF of Numerators as per given numbers 6390/282, 8484/521 is
GCF of Numerators i.e. for 6390,8484 is 6
LCM of denominators i.e. for 282,521 is 146922.
Thus, GCF of Fractions is 6/146922.Finally, GCF of Fractions for 6390/282, 8484/521 is 6/146922.