GCF of 9983/802, 3802/1628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9983/802, 3802/1628 i.e 1/652828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9983/802, 3802/1628.
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 9983/802,3802/1628?
Given fractions are 9983/802,3802/1628
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 9983/802,3802/1628, numerators are 9983,3802
Denominators are 802,1628
The GCF of 9983,3802 is 1 .
LCM of 802,1628 is 652828.
The greatest common factor of 9983/802,3802/1628 = [GCF of 9983,3802]/[LCM of 802,1628]= 1/652828
Therefore, the GCF of 9983/802,3802/1628 is 1/652828.
To find the highest common factor of 9983,3802, we have to find the factors of both numbers and list the highest common factor.
The factors of 9983 are 1, 67, 149, 9983
The factors of 3802 are 1, 2, 1901, 3802
The HCF of 9983,3802 is 1.
Lets's calculate GCF of 9983,3802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9983,3802 By Matching Biggest Common Factor Method
Now, list down the factors of 9983
:1,67,149,9983
Now, list down the factors of 3802
:1,2,1901,3802
Greatest Common Factor
We found the factors 9983,3802 . The biggest common factor number is the GCF number.
So the greatest common factor 9983,3802 is 1.
Lets's calculate LCM of 802,1628
| 2 | 802, 1628 |
| 401, 814 |
∴ So the LCM of the given numbers is 2 x 401 x 814 = 652828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652828
Therefore, the GCF of Fractions 9983/802,3802/1628 is 1/652828
Least Common Multiple of 802,1628 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 802,1628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,1628) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,1628) x common factors =2 x 1 = 2
LCM(802,1628) = ( 802 × 1628 ) / 2
LCM(802,1628) = 1305656 / 2
LCM(802,1628) = 652828
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FAQs on GCF of Fractions of 9983/802, 3802/1628
1. What is the HCF of 9983,3802?
The HCF of 9983,3802 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 9983/802, 3802/1628?
Answer: GCF of Numerators as per given numbers 9983/802, 3802/1628 is
GCF of Numerators i.e. for 9983,3802 is 1
LCM of denominators i.e. for 802,1628 is 652828.
Thus, GCF of Fractions is 1/652828.Finally, GCF of Fractions for 9983/802, 3802/1628 is 1/652828.