GCF of 283/990, 5995/5738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 283/990, 5995/5738 i.e 1/2840310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/990, 5995/5738.
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 283/990,5995/5738?
Given fractions are 283/990,5995/5738
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 283/990,5995/5738, numerators are 283,5995
Denominators are 990,5738
The GCF of 283,5995 is 1 .
LCM of 990,5738 is 2840310.
The greatest common factor of 283/990,5995/5738 = [GCF of 283,5995]/[LCM of 990,5738]= 1/2840310
Therefore, the GCF of 283/990,5995/5738 is 1/2840310.
To find the highest common factor of 283,5995, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The HCF of 283,5995 is 1.
Lets's calculate GCF of 283,5995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 283,5995 By Matching Biggest Common Factor Method
Now, list down the factors of 283
:1,283
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Greatest Common Factor
We found the factors 283,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 283,5995 is 1.
Lets's calculate LCM of 990,5738
| 2 | 990, 5738 |
| 495, 2869 |
∴ So the LCM of the given numbers is 2 x 495 x 2869 = 2840310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2840310
Therefore, the GCF of Fractions 283/990,5995/5738 is 1/2840310
Least Common Multiple of 990,5738 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 990,5738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,5738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(990,5738) x common factors =2 x 1 = 2
LCM(990,5738) = ( 990 × 5738 ) / 2
LCM(990,5738) = 5680620 / 2
LCM(990,5738) = 2840310
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FAQs on GCF of Fractions of 283/990, 5995/5738
1. What is the HCF of 283,5995?
The HCF of 283,5995 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 283/990, 5995/5738?
Answer: GCF of Numerators as per given numbers 283/990, 5995/5738 is
GCF of Numerators i.e. for 283,5995 is 1
LCM of denominators i.e. for 990,5738 is 2840310.
Thus, GCF of Fractions is 1/2840310.Finally, GCF of Fractions for 283/990, 5995/5738 is 1/2840310.