GCF of 6420/987, 4905/6069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6420/987, 4905/6069 i.e 15/285243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6420/987, 4905/6069.
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 6420/987,4905/6069?
Given fractions are 6420/987,4905/6069
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 6420/987,4905/6069, numerators are 6420,4905
Denominators are 987,6069
The GCF of 6420,4905 is 15 .
LCM of 987,6069 is 285243.
The greatest common factor of 6420/987,4905/6069 = [GCF of 6420,4905]/[LCM of 987,6069]= 15/285243
Therefore, the GCF of 6420/987,4905/6069 is 15/285243.
To find the highest common factor of 6420,4905, we have to find the factors of both numbers and list the highest common factor.
The factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
The HCF of 6420,4905 is 15.
Lets's calculate GCF of 6420,4905
| 3 | 6420, 4905 |
| 5 | 2140, 1635 |
| 428, 327 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6420,4905 By Matching Biggest Common Factor Method
Now, list down the factors of 6420
:1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
Greatest Common Factor
We found the factors 6420,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 6420,4905 is 15.
Lets's calculate LCM of 987,6069
| 3 | 987, 6069 |
| 7 | 329, 2023 |
| 47, 289 |
∴ So the LCM of the given numbers is 3 x 7 x 47 x 289 = 285243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/285243
Therefore, the GCF of Fractions 6420/987,4905/6069 is 15/285243
Least Common Multiple of 987,6069 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 987,6069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,6069) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(987,6069) x common factors =21 x 1 = 21
LCM(987,6069) = ( 987 × 6069 ) / 21
LCM(987,6069) = 5990103 / 21
LCM(987,6069) = 285243
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FAQs on GCF of Fractions of 6420/987, 4905/6069
1. What is the HCF of 6420,4905?
The HCF of 6420,4905 is 15
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 6420/987, 4905/6069?
Answer: GCF of Numerators as per given numbers 6420/987, 4905/6069 is
GCF of Numerators i.e. for 6420,4905 is 15
LCM of denominators i.e. for 987,6069 is 285243.
Thus, GCF of Fractions is 15/285243.Finally, GCF of Fractions for 6420/987, 4905/6069 is 15/285243.