GCF of 6105/688, 4936/1614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6105/688, 4936/1614 i.e 1/555216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6105/688, 4936/1614.
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 6105/688,4936/1614?
Given fractions are 6105/688,4936/1614
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 6105/688,4936/1614, numerators are 6105,4936
Denominators are 688,1614
The GCF of 6105,4936 is 1 .
LCM of 688,1614 is 555216.
The greatest common factor of 6105/688,4936/1614 = [GCF of 6105,4936]/[LCM of 688,1614]= 1/555216
Therefore, the GCF of 6105/688,4936/1614 is 1/555216.
To find the highest common factor of 6105,4936, we have to find the factors of both numbers and list the highest common factor.
The factors of 6105 are 1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105
The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936
The HCF of 6105,4936 is 1.
Lets's calculate GCF of 6105,4936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6105,4936 By Matching Biggest Common Factor Method
Now, list down the factors of 6105
:1,3,5,11,15,33,37,55,111,165,185,407,555,1221,2035,6105
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Greatest Common Factor
We found the factors 6105,4936 . The biggest common factor number is the GCF number.
So the greatest common factor 6105,4936 is 1.
Lets's calculate LCM of 688,1614
| 2 | 688, 1614 |
| 344, 807 |
∴ So the LCM of the given numbers is 2 x 344 x 807 = 555216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555216
Therefore, the GCF of Fractions 6105/688,4936/1614 is 1/555216
Least Common Multiple of 688,1614 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 688,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,1614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,1614) x common factors =2 x 1 = 2
LCM(688,1614) = ( 688 × 1614 ) / 2
LCM(688,1614) = 1110432 / 2
LCM(688,1614) = 555216
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6105/688, 4936/1614
1. What is the HCF of 6105,4936?
The HCF of 6105,4936 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 6105/688, 4936/1614?
Answer: GCF of Numerators as per given numbers 6105/688, 4936/1614 is
GCF of Numerators i.e. for 6105,4936 is 1
LCM of denominators i.e. for 688,1614 is 555216.
Thus, GCF of Fractions is 1/555216.Finally, GCF of Fractions for 6105/688, 4936/1614 is 1/555216.