GCF of 2370/295, 3648/9981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2370/295, 3648/9981 i.e 6/2944395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2370/295, 3648/9981.
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 2370/295,3648/9981?
Given fractions are 2370/295,3648/9981
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 2370/295,3648/9981, numerators are 2370,3648
Denominators are 295,9981
The GCF of 2370,3648 is 6 .
LCM of 295,9981 is 2944395.
The greatest common factor of 2370/295,3648/9981 = [GCF of 2370,3648]/[LCM of 295,9981]= 6/2944395
Therefore, the GCF of 2370/295,3648/9981 is 6/2944395.
To find the highest common factor of 2370,3648, we have to find the factors of both numbers and list the highest common factor.
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The HCF of 2370,3648 is 6.
Lets's calculate GCF of 2370,3648
| 2 | 2370, 3648 |
| 3 | 1185, 1824 |
| 395, 608 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2370,3648 By Matching Biggest Common Factor Method
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Greatest Common Factor
We found the factors 2370,3648 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,3648 is 6.
Lets's calculate LCM of 295,9981
Given numbers has no common factors except 1. So, there LCM is their product i.e 2944395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2944395
Therefore, the GCF of Fractions 2370/295,3648/9981 is 6/2944395
Least Common Multiple of 295,9981 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 295,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,9981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,9981) x common factors =1 x 1 = 1
LCM(295,9981) = ( 295 × 9981 ) / 1
LCM(295,9981) = 2944395 / 1
LCM(295,9981) = 2944395
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FAQs on GCF of Fractions of 2370/295, 3648/9981
1. What is the HCF of 2370,3648?
The HCF of 2370,3648 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 2370/295, 3648/9981?
Answer: GCF of Numerators as per given numbers 2370/295, 3648/9981 is
GCF of Numerators i.e. for 2370,3648 is 6
LCM of denominators i.e. for 295,9981 is 2944395.
Thus, GCF of Fractions is 6/2944395.Finally, GCF of Fractions for 2370/295, 3648/9981 is 6/2944395.