GCF of 1990/723, 7288/5613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1990/723, 7288/5613 i.e 2/1352733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1990/723, 7288/5613.
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 1990/723,7288/5613?
Given fractions are 1990/723,7288/5613
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 1990/723,7288/5613, numerators are 1990,7288
Denominators are 723,5613
The GCF of 1990,7288 is 2 .
LCM of 723,5613 is 1352733.
The greatest common factor of 1990/723,7288/5613 = [GCF of 1990,7288]/[LCM of 723,5613]= 2/1352733
Therefore, the GCF of 1990/723,7288/5613 is 2/1352733.
To find the highest common factor of 1990,7288, we have to find the factors of both numbers and list the highest common factor.
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288
The HCF of 1990,7288 is 2.
Lets's calculate GCF of 1990,7288
| 2 | 1990, 7288 |
| 995, 3644 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1990,7288 By Matching Biggest Common Factor Method
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Now, list down the factors of 7288
:1,2,4,8,911,1822,3644,7288
Greatest Common Factor
We found the factors 1990,7288 . The biggest common factor number is the GCF number.
So the greatest common factor 1990,7288 is 2.
Lets's calculate LCM of 723,5613
| 3 | 723, 5613 |
| 241, 1871 |
∴ So the LCM of the given numbers is 3 x 241 x 1871 = 1352733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1352733
Therefore, the GCF of Fractions 1990/723,7288/5613 is 2/1352733
Least Common Multiple of 723,5613 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 723,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,5613) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,5613) x common factors =3 x 1 = 3
LCM(723,5613) = ( 723 × 5613 ) / 3
LCM(723,5613) = 4058199 / 3
LCM(723,5613) = 1352733
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FAQs on GCF of Fractions of 1990/723, 7288/5613
1. What is the HCF of 1990,7288?
The HCF of 1990,7288 is 2
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 1990/723, 7288/5613?
Answer: GCF of Numerators as per given numbers 1990/723, 7288/5613 is
GCF of Numerators i.e. for 1990,7288 is 2
LCM of denominators i.e. for 723,5613 is 1352733.
Thus, GCF of Fractions is 2/1352733.Finally, GCF of Fractions for 1990/723, 7288/5613 is 2/1352733.