GCF of 3830/695, 3621/9990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3830/695, 3621/9990 i.e 1/1388610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3830/695, 3621/9990.
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 3830/695,3621/9990?
Given fractions are 3830/695,3621/9990
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 3830/695,3621/9990, numerators are 3830,3621
Denominators are 695,9990
The GCF of 3830,3621 is 1 .
LCM of 695,9990 is 1388610.
The greatest common factor of 3830/695,3621/9990 = [GCF of 3830,3621]/[LCM of 695,9990]= 1/1388610
Therefore, the GCF of 3830/695,3621/9990 is 1/1388610.
To find the highest common factor of 3830,3621, we have to find the factors of both numbers and list the highest common factor.
The factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830
The factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621
The HCF of 3830,3621 is 1.
Lets's calculate GCF of 3830,3621
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3830,3621 By Matching Biggest Common Factor Method
Now, list down the factors of 3830
:1,2,5,10,383,766,1915,3830
Now, list down the factors of 3621
:1,3,17,51,71,213,1207,3621
Greatest Common Factor
We found the factors 3830,3621 . The biggest common factor number is the GCF number.
So the greatest common factor 3830,3621 is 1.
Lets's calculate LCM of 695,9990
| 5 | 695, 9990 |
| 139, 1998 |
∴ So the LCM of the given numbers is 5 x 139 x 1998 = 1388610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1388610
Therefore, the GCF of Fractions 3830/695,3621/9990 is 1/1388610
Least Common Multiple of 695,9990 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 695,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,9990) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,9990) x common factors =5 x 1 = 5
LCM(695,9990) = ( 695 × 9990 ) / 5
LCM(695,9990) = 6943050 / 5
LCM(695,9990) = 1388610
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FAQs on GCF of Fractions of 3830/695, 3621/9990
1. What is the HCF of 3830,3621?
The HCF of 3830,3621 is 1
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 3830/695, 3621/9990?
Answer: GCF of Numerators as per given numbers 3830/695, 3621/9990 is
GCF of Numerators i.e. for 3830,3621 is 1
LCM of denominators i.e. for 695,9990 is 1388610.
Thus, GCF of Fractions is 1/1388610.Finally, GCF of Fractions for 3830/695, 3621/9990 is 1/1388610.