GCF of 3355/640, 5995/2344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3355/640, 5995/2344 i.e 55/187520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3355/640, 5995/2344.
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 3355/640,5995/2344?
Given fractions are 3355/640,5995/2344
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 3355/640,5995/2344, numerators are 3355,5995
Denominators are 640,2344
The GCF of 3355,5995 is 55 .
LCM of 640,2344 is 187520.
The greatest common factor of 3355/640,5995/2344 = [GCF of 3355,5995]/[LCM of 640,2344]= 55/187520
Therefore, the GCF of 3355/640,5995/2344 is 55/187520.
To find the highest common factor of 3355,5995, we have to find the factors of both numbers and list the highest common factor.
The factors of 3355 are 1, 5, 11, 55, 61, 305, 671, 3355
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The HCF of 3355,5995 is 55.
Lets's calculate GCF of 3355,5995
| 5 | 3355, 5995 |
| 11 | 671, 1199 |
| 61, 109 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 3355,5995 By Matching Biggest Common Factor Method
Now, list down the factors of 3355
:1,5,11,55,61,305,671,3355
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Greatest Common Factor
We found the factors 3355,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 3355,5995 is 55.
Lets's calculate LCM of 640,2344
| 2 | 640, 2344 |
| 2 | 320, 1172 |
| 2 | 160, 586 |
| 80, 293 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 80 x 293 = 187520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/187520
Therefore, the GCF of Fractions 3355/640,5995/2344 is 55/187520
Least Common Multiple of 640,2344 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 640,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,2344) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(640,2344) x common factors =8 x 1 = 8
LCM(640,2344) = ( 640 × 2344 ) / 8
LCM(640,2344) = 1500160 / 8
LCM(640,2344) = 187520
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FAQs on GCF of Fractions of 3355/640, 5995/2344
1. What is the HCF of 3355,5995?
The HCF of 3355,5995 is 55
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 3355/640, 5995/2344?
Answer: GCF of Numerators as per given numbers 3355/640, 5995/2344 is
GCF of Numerators i.e. for 3355,5995 is 55
LCM of denominators i.e. for 640,2344 is 187520.
Thus, GCF of Fractions is 55/187520.Finally, GCF of Fractions for 3355/640, 5995/2344 is 55/187520.