GCF of 3880/605, 6820/3189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3880/605, 6820/3189 i.e 20/1929345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3880/605, 6820/3189.
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 3880/605,6820/3189?
Given fractions are 3880/605,6820/3189
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 3880/605,6820/3189, numerators are 3880,6820
Denominators are 605,3189
The GCF of 3880,6820 is 20 .
LCM of 605,3189 is 1929345.
The greatest common factor of 3880/605,6820/3189 = [GCF of 3880,6820]/[LCM of 605,3189]= 20/1929345
Therefore, the GCF of 3880/605,6820/3189 is 20/1929345.
To find the highest common factor of 3880,6820, we have to find the factors of both numbers and list the highest common factor.
The factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880
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 HCF of 3880,6820 is 20.
Lets's calculate GCF of 3880,6820
| 2 | 3880, 6820 |
| 2 | 1940, 3410 |
| 5 | 970, 1705 |
| 194, 341 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3880,6820 By Matching Biggest Common Factor Method
Now, list down the factors of 3880
:1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880
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
Greatest Common Factor
We found the factors 3880,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 3880,6820 is 20.
Lets's calculate LCM of 605,3189
Given numbers has no common factors except 1. So, there LCM is their product i.e 1929345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1929345
Therefore, the GCF of Fractions 3880/605,6820/3189 is 20/1929345
Least Common Multiple of 605,3189 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 605,3189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,3189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,3189) x common factors =1 x 1 = 1
LCM(605,3189) = ( 605 × 3189 ) / 1
LCM(605,3189) = 1929345 / 1
LCM(605,3189) = 1929345
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FAQs on GCF of Fractions of 3880/605, 6820/3189
1. What is the HCF of 3880,6820?
The HCF of 3880,6820 is 20
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 3880/605, 6820/3189?
Answer: GCF of Numerators as per given numbers 3880/605, 6820/3189 is
GCF of Numerators i.e. for 3880,6820 is 20
LCM of denominators i.e. for 605,3189 is 1929345.
Thus, GCF of Fractions is 20/1929345.Finally, GCF of Fractions for 3880/605, 6820/3189 is 20/1929345.