GCF of 2127/899, 6383/5735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2127/899, 6383/5735 i.e 1/166315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2127/899, 6383/5735.
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 2127/899,6383/5735?
Given fractions are 2127/899,6383/5735
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 2127/899,6383/5735, numerators are 2127,6383
Denominators are 899,5735
The GCF of 2127,6383 is 1 .
LCM of 899,5735 is 166315.
The greatest common factor of 2127/899,6383/5735 = [GCF of 2127,6383]/[LCM of 899,5735]= 1/166315
Therefore, the GCF of 2127/899,6383/5735 is 1/166315.
To find the highest common factor of 2127,6383, we have to find the factors of both numbers and list the highest common factor.
The factors of 2127 are 1, 3, 709, 2127
The factors of 6383 are 1, 13, 491, 6383
The HCF of 2127,6383 is 1.
Lets's calculate GCF of 2127,6383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2127,6383 By Matching Biggest Common Factor Method
Now, list down the factors of 2127
:1,3,709,2127
Now, list down the factors of 6383
:1,13,491,6383
Greatest Common Factor
We found the factors 2127,6383 . The biggest common factor number is the GCF number.
So the greatest common factor 2127,6383 is 1.
Lets's calculate LCM of 899,5735
| 31 | 899, 5735 |
| 29, 185 |
∴ So the LCM of the given numbers is 31 x 29 x 185 = 166315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166315
Therefore, the GCF of Fractions 2127/899,6383/5735 is 1/166315
Least Common Multiple of 899,5735 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 899,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,5735) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(899,5735) x common factors =31 x 1 = 31
LCM(899,5735) = ( 899 × 5735 ) / 31
LCM(899,5735) = 5155765 / 31
LCM(899,5735) = 166315
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FAQs on GCF of Fractions of 2127/899, 6383/5735
1. What is the HCF of 2127,6383?
The HCF of 2127,6383 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 2127/899, 6383/5735?
Answer: GCF of Numerators as per given numbers 2127/899, 6383/5735 is
GCF of Numerators i.e. for 2127,6383 is 1
LCM of denominators i.e. for 899,5735 is 166315.
Thus, GCF of Fractions is 1/166315.Finally, GCF of Fractions for 2127/899, 6383/5735 is 1/166315.