GCF of 3002/489, 6390/2164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3002/489, 6390/2164 i.e 2/1058196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3002/489, 6390/2164.
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 3002/489,6390/2164?
Given fractions are 3002/489,6390/2164
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 3002/489,6390/2164, numerators are 3002,6390
Denominators are 489,2164
The GCF of 3002,6390 is 2 .
LCM of 489,2164 is 1058196.
The greatest common factor of 3002/489,6390/2164 = [GCF of 3002,6390]/[LCM of 489,2164]= 2/1058196
Therefore, the GCF of 3002/489,6390/2164 is 2/1058196.
To find the highest common factor of 3002,6390, we have to find the factors of both numbers and list the highest common factor.
The factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002
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 HCF of 3002,6390 is 2.
Lets's calculate GCF of 3002,6390
| 2 | 3002, 6390 |
| 1501, 3195 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3002,6390 By Matching Biggest Common Factor Method
Now, list down the factors of 3002
:1,2,19,38,79,158,1501,3002
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
Greatest Common Factor
We found the factors 3002,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 3002,6390 is 2.
Lets's calculate LCM of 489,2164
Given numbers has no common factors except 1. So, there LCM is their product i.e 1058196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1058196
Therefore, the GCF of Fractions 3002/489,6390/2164 is 2/1058196
Least Common Multiple of 489,2164 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 489,2164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,2164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,2164) x common factors =1 x 1 = 1
LCM(489,2164) = ( 489 × 2164 ) / 1
LCM(489,2164) = 1058196 / 1
LCM(489,2164) = 1058196
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FAQs on GCF of Fractions of 3002/489, 6390/2164
1. What is the HCF of 3002,6390?
The HCF of 3002,6390 is 2
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 3002/489, 6390/2164?
Answer: GCF of Numerators as per given numbers 3002/489, 6390/2164 is
GCF of Numerators i.e. for 3002,6390 is 2
LCM of denominators i.e. for 489,2164 is 1058196.
Thus, GCF of Fractions is 2/1058196.Finally, GCF of Fractions for 3002/489, 6390/2164 is 2/1058196.