GCF of 3619/394, 8379/5260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3619/394, 8379/5260 i.e 7/1036220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3619/394, 8379/5260.
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 3619/394,8379/5260?
Given fractions are 3619/394,8379/5260
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 3619/394,8379/5260, numerators are 3619,8379
Denominators are 394,5260
The GCF of 3619,8379 is 7 .
LCM of 394,5260 is 1036220.
The greatest common factor of 3619/394,8379/5260 = [GCF of 3619,8379]/[LCM of 394,5260]= 7/1036220
Therefore, the GCF of 3619/394,8379/5260 is 7/1036220.
To find the highest common factor of 3619,8379, we have to find the factors of both numbers and list the highest common factor.
The factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619
The factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379
The HCF of 3619,8379 is 7.
Lets's calculate GCF of 3619,8379
| 7 | 3619, 8379 |
| 517, 1197 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3619,8379 By Matching Biggest Common Factor Method
Now, list down the factors of 3619
:1,7,11,47,77,329,517,3619
Now, list down the factors of 8379
:1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379
Greatest Common Factor
We found the factors 3619,8379 . The biggest common factor number is the GCF number.
So the greatest common factor 3619,8379 is 7.
Lets's calculate LCM of 394,5260
| 2 | 394, 5260 |
| 197, 2630 |
∴ So the LCM of the given numbers is 2 x 197 x 2630 = 1036220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1036220
Therefore, the GCF of Fractions 3619/394,8379/5260 is 7/1036220
Least Common Multiple of 394,5260 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 394,5260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,5260) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,5260) x common factors =2 x 1 = 2
LCM(394,5260) = ( 394 × 5260 ) / 2
LCM(394,5260) = 2072440 / 2
LCM(394,5260) = 1036220
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FAQs on GCF of Fractions of 3619/394, 8379/5260
1. What is the HCF of 3619,8379?
The HCF of 3619,8379 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 3619/394, 8379/5260?
Answer: GCF of Numerators as per given numbers 3619/394, 8379/5260 is
GCF of Numerators i.e. for 3619,8379 is 7
LCM of denominators i.e. for 394,5260 is 1036220.
Thus, GCF of Fractions is 7/1036220.Finally, GCF of Fractions for 3619/394, 8379/5260 is 7/1036220.