GCF of 6820/595, 1364/2045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6820/595, 1364/2045 i.e 1364/243355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6820/595, 1364/2045.
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 6820/595,1364/2045?
Given fractions are 6820/595,1364/2045
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 6820/595,1364/2045, numerators are 6820,1364
Denominators are 595,2045
The GCF of 6820,1364 is 1364 .
LCM of 595,2045 is 243355.
The greatest common factor of 6820/595,1364/2045 = [GCF of 6820,1364]/[LCM of 595,2045]= 1364/243355
Therefore, the GCF of 6820/595,1364/2045 is 1364/243355.
To find the highest common factor of 6820,1364, we have to find the factors of both numbers and list the highest common factor.
The factors of 6820 are 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410, 6820
The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364
The HCF of 6820,1364 is 1364.
Lets's calculate GCF of 6820,1364
| 2 | 6820, 1364 |
| 2 | 3410, 682 |
| 11 | 1705, 341 |
| 31 | 155, 31 |
| 5, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 11 x 31 = 1364
Greatest Common Factor of 6820,1364 By Matching Biggest Common Factor Method
Now, list down the factors of 6820
:1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820
Now, list down the factors of 1364
:1,2,4,11,22,31,44,62,124,341,682,1364
Greatest Common Factor
We found the factors 6820,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 6820,1364 is 1364.
Lets's calculate LCM of 595,2045
| 5 | 595, 2045 |
| 119, 409 |
∴ So the LCM of the given numbers is 5 x 119 x 409 = 243355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1364/243355
Therefore, the GCF of Fractions 6820/595,1364/2045 is 1364/243355
Least Common Multiple of 595,2045 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 595,2045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,2045) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(595,2045) x common factors =5 x 1 = 5
LCM(595,2045) = ( 595 × 2045 ) / 5
LCM(595,2045) = 1216775 / 5
LCM(595,2045) = 243355
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FAQs on GCF of Fractions of 6820/595, 1364/2045
1. What is the HCF of 6820,1364?
The HCF of 6820,1364 is 1364
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 6820/595, 1364/2045?
Answer: GCF of Numerators as per given numbers 6820/595, 1364/2045 is
GCF of Numerators i.e. for 6820,1364 is 1364
LCM of denominators i.e. for 595,2045 is 243355.
Thus, GCF of Fractions is 1364/243355.Finally, GCF of Fractions for 6820/595, 1364/2045 is 1364/243355.