GCF of 2814/195, 1737/439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2814/195, 1737/439 i.e 3/85605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2814/195, 1737/439.
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 2814/195,1737/439?
Given fractions are 2814/195,1737/439
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 2814/195,1737/439, numerators are 2814,1737
Denominators are 195,439
The GCF of 2814,1737 is 3 .
LCM of 195,439 is 85605.
The greatest common factor of 2814/195,1737/439 = [GCF of 2814,1737]/[LCM of 195,439]= 3/85605
Therefore, the GCF of 2814/195,1737/439 is 3/85605.
To find the highest common factor of 2814,1737, we have to find the factors of both numbers and list the highest common factor.
The factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814
The factors of 1737 are 1, 3, 9, 193, 579, 1737
The HCF of 2814,1737 is 3.
Lets's calculate GCF of 2814,1737
| 3 | 2814, 1737 |
| 938, 579 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2814,1737 By Matching Biggest Common Factor Method
Now, list down the factors of 2814
:1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814
Now, list down the factors of 1737
:1,3,9,193,579,1737
Greatest Common Factor
We found the factors 2814,1737 . The biggest common factor number is the GCF number.
So the greatest common factor 2814,1737 is 3.
Lets's calculate LCM of 195,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 85605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/85605
Therefore, the GCF of Fractions 2814/195,1737/439 is 3/85605
Least Common Multiple of 195,439 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 195,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(195,439) x common factors =1 x 1 = 1
LCM(195,439) = ( 195 × 439 ) / 1
LCM(195,439) = 85605 / 1
LCM(195,439) = 85605
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FAQs on GCF of Fractions of 2814/195, 1737/439
1. What is the HCF of 2814,1737?
The HCF of 2814,1737 is 3
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 2814/195, 1737/439?
Answer: GCF of Numerators as per given numbers 2814/195, 1737/439 is
GCF of Numerators i.e. for 2814,1737 is 3
LCM of denominators i.e. for 195,439 is 85605.
Thus, GCF of Fractions is 3/85605.Finally, GCF of Fractions for 2814/195, 1737/439 is 3/85605.