GCF of 3381/780, 2219/1585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3381/780, 2219/1585 i.e 7/247260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3381/780, 2219/1585.
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 3381/780,2219/1585?
Given fractions are 3381/780,2219/1585
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 3381/780,2219/1585, numerators are 3381,2219
Denominators are 780,1585
The GCF of 3381,2219 is 7 .
LCM of 780,1585 is 247260.
The greatest common factor of 3381/780,2219/1585 = [GCF of 3381,2219]/[LCM of 780,1585]= 7/247260
Therefore, the GCF of 3381/780,2219/1585 is 7/247260.
To find the highest common factor of 3381,2219, we have to find the factors of both numbers and list the highest common factor.
The factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381
The factors of 2219 are 1, 7, 317, 2219
The HCF of 3381,2219 is 7.
Lets's calculate GCF of 3381,2219
| 7 | 3381, 2219 |
| 483, 317 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3381,2219 By Matching Biggest Common Factor Method
Now, list down the factors of 3381
:1,3,7,21,23,49,69,147,161,483,1127,3381
Now, list down the factors of 2219
:1,7,317,2219
Greatest Common Factor
We found the factors 3381,2219 . The biggest common factor number is the GCF number.
So the greatest common factor 3381,2219 is 7.
Lets's calculate LCM of 780,1585
| 5 | 780, 1585 |
| 156, 317 |
∴ So the LCM of the given numbers is 5 x 156 x 317 = 247260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/247260
Therefore, the GCF of Fractions 3381/780,2219/1585 is 7/247260
Least Common Multiple of 780,1585 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 780,1585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,1585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(780,1585) x common factors =5 x 1 = 5
LCM(780,1585) = ( 780 × 1585 ) / 5
LCM(780,1585) = 1236300 / 5
LCM(780,1585) = 247260
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FAQs on GCF of Fractions of 3381/780, 2219/1585
1. What is the HCF of 3381,2219?
The HCF of 3381,2219 is 7
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 3381/780, 2219/1585?
Answer: GCF of Numerators as per given numbers 3381/780, 2219/1585 is
GCF of Numerators i.e. for 3381,2219 is 7
LCM of denominators i.e. for 780,1585 is 247260.
Thus, GCF of Fractions is 7/247260.Finally, GCF of Fractions for 3381/780, 2219/1585 is 7/247260.