GCF of 9190/682, 3820/3695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9190/682, 3820/3695 i.e 10/2519990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9190/682, 3820/3695.
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 9190/682,3820/3695?
Given fractions are 9190/682,3820/3695
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 9190/682,3820/3695, numerators are 9190,3820
Denominators are 682,3695
The GCF of 9190,3820 is 10 .
LCM of 682,3695 is 2519990.
The greatest common factor of 9190/682,3820/3695 = [GCF of 9190,3820]/[LCM of 682,3695]= 10/2519990
Therefore, the GCF of 9190/682,3820/3695 is 10/2519990.
To find the highest common factor of 9190,3820, we have to find the factors of both numbers and list the highest common factor.
The factors of 9190 are 1, 2, 5, 10, 919, 1838, 4595, 9190
The factors of 3820 are 1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910, 3820
The HCF of 9190,3820 is 10.
Lets's calculate GCF of 9190,3820
| 2 | 9190, 3820 |
| 5 | 4595, 1910 |
| 919, 382 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9190,3820 By Matching Biggest Common Factor Method
Now, list down the factors of 9190
:1,2,5,10,919,1838,4595,9190
Now, list down the factors of 3820
:1,2,4,5,10,20,191,382,764,955,1910,3820
Greatest Common Factor
We found the factors 9190,3820 . The biggest common factor number is the GCF number.
So the greatest common factor 9190,3820 is 10.
Lets's calculate LCM of 682,3695
Given numbers has no common factors except 1. So, there LCM is their product i.e 2519990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2519990
Therefore, the GCF of Fractions 9190/682,3820/3695 is 10/2519990
Least Common Multiple of 682,3695 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 682,3695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,3695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,3695) x common factors =1 x 1 = 1
LCM(682,3695) = ( 682 × 3695 ) / 1
LCM(682,3695) = 2519990 / 1
LCM(682,3695) = 2519990
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FAQs on GCF of Fractions of 9190/682, 3820/3695
1. What is the HCF of 9190,3820?
The HCF of 9190,3820 is 10
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 9190/682, 3820/3695?
Answer: GCF of Numerators as per given numbers 9190/682, 3820/3695 is
GCF of Numerators i.e. for 9190,3820 is 10
LCM of denominators i.e. for 682,3695 is 2519990.
Thus, GCF of Fractions is 10/2519990.Finally, GCF of Fractions for 9190/682, 3820/3695 is 10/2519990.