GCF of 5676/533, 1617/3484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5676/533, 1617/3484 i.e 33/142844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5676/533, 1617/3484.
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 5676/533,1617/3484?
Given fractions are 5676/533,1617/3484
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 5676/533,1617/3484, numerators are 5676,1617
Denominators are 533,3484
The GCF of 5676,1617 is 33 .
LCM of 533,3484 is 142844.
The greatest common factor of 5676/533,1617/3484 = [GCF of 5676,1617]/[LCM of 533,3484]= 33/142844
Therefore, the GCF of 5676/533,1617/3484 is 33/142844.
To find the highest common factor of 5676,1617, we have to find the factors of both numbers and list the highest common factor.
The factors of 5676 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The HCF of 5676,1617 is 33.
Lets's calculate GCF of 5676,1617
| 3 | 5676, 1617 |
| 11 | 1892, 539 |
| 172, 49 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 5676,1617 By Matching Biggest Common Factor Method
Now, list down the factors of 5676
:1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Greatest Common Factor
We found the factors 5676,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 5676,1617 is 33.
Lets's calculate LCM of 533,3484
| 13 | 533, 3484 |
| 41, 268 |
∴ So the LCM of the given numbers is 13 x 41 x 268 = 142844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/142844
Therefore, the GCF of Fractions 5676/533,1617/3484 is 33/142844
Least Common Multiple of 533,3484 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 533,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,3484) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(533,3484) x common factors =13 x 1 = 13
LCM(533,3484) = ( 533 × 3484 ) / 13
LCM(533,3484) = 1856972 / 13
LCM(533,3484) = 142844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5676/533, 1617/3484
1. What is the HCF of 5676,1617?
The HCF of 5676,1617 is 33
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 5676/533, 1617/3484?
Answer: GCF of Numerators as per given numbers 5676/533, 1617/3484 is
GCF of Numerators i.e. for 5676,1617 is 33
LCM of denominators i.e. for 533,3484 is 142844.
Thus, GCF of Fractions is 33/142844.Finally, GCF of Fractions for 5676/533, 1617/3484 is 33/142844.