GCF of 886/30, 663/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/30, 663/995 i.e 1/5970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/30, 663/995.
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 886/30,663/995?
Given fractions are 886/30,663/995
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 886/30,663/995, numerators are 886,663
Denominators are 30,995
The GCF of 886,663 is 1 .
LCM of 30,995 is 5970.
The greatest common factor of 886/30,663/995 = [GCF of 886,663]/[LCM of 30,995]= 1/5970
Therefore, the GCF of 886/30,663/995 is 1/5970.
To find the highest common factor of 886,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 886,663 is 1.
Lets's calculate GCF of 886,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 886,663 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 886,663 . The biggest common factor number is the GCF number.
So the greatest common factor 886,663 is 1.
Lets's calculate LCM of 30,995
| 5 | 30, 995 |
| 6, 199 |
∴ So the LCM of the given numbers is 5 x 6 x 199 = 5970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5970
Therefore, the GCF of Fractions 886/30,663/995 is 1/5970
Least Common Multiple of 30,995 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 30,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(30,995) x common factors =5 x 1 = 5
LCM(30,995) = ( 30 × 995 ) / 5
LCM(30,995) = 29850 / 5
LCM(30,995) = 5970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 886/30, 663/995
1. What is the HCF of 886,663?
The HCF of 886,663 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 886/30, 663/995?
Answer: GCF of Numerators as per given numbers 886/30, 663/995 is
GCF of Numerators i.e. for 886,663 is 1
LCM of denominators i.e. for 30,995 is 5970.
Thus, GCF of Fractions is 1/5970.Finally, GCF of Fractions for 886/30, 663/995 is 1/5970.