GCF of 6284/108, 5511/8776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6284/108, 5511/8776 i.e 1/236952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6284/108, 5511/8776.
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 6284/108,5511/8776?
Given fractions are 6284/108,5511/8776
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 6284/108,5511/8776, numerators are 6284,5511
Denominators are 108,8776
The GCF of 6284,5511 is 1 .
LCM of 108,8776 is 236952.
The greatest common factor of 6284/108,5511/8776 = [GCF of 6284,5511]/[LCM of 108,8776]= 1/236952
Therefore, the GCF of 6284/108,5511/8776 is 1/236952.
To find the highest common factor of 6284,5511, we have to find the factors of both numbers and list the highest common factor.
The factors of 6284 are 1, 2, 4, 1571, 3142, 6284
The factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511
The HCF of 6284,5511 is 1.
Lets's calculate GCF of 6284,5511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6284,5511 By Matching Biggest Common Factor Method
Now, list down the factors of 6284
:1,2,4,1571,3142,6284
Now, list down the factors of 5511
:1,3,11,33,167,501,1837,5511
Greatest Common Factor
We found the factors 6284,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 6284,5511 is 1.
Lets's calculate LCM of 108,8776
| 2 | 108, 8776 |
| 2 | 54, 4388 |
| 27, 2194 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 2194 = 236952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236952
Therefore, the GCF of Fractions 6284/108,5511/8776 is 1/236952
Least Common Multiple of 108,8776 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 108,8776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,8776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(108,8776) x common factors =4 x 1 = 4
LCM(108,8776) = ( 108 × 8776 ) / 4
LCM(108,8776) = 947808 / 4
LCM(108,8776) = 236952
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6284/108, 5511/8776
1. What is the HCF of 6284,5511?
The HCF of 6284,5511 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 6284/108, 5511/8776?
Answer: GCF of Numerators as per given numbers 6284/108, 5511/8776 is
GCF of Numerators i.e. for 6284,5511 is 1
LCM of denominators i.e. for 108,8776 is 236952.
Thus, GCF of Fractions is 1/236952.Finally, GCF of Fractions for 6284/108, 5511/8776 is 1/236952.