GCF of 5356/339, 3380/2569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5356/339, 3380/2569 i.e 52/870891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5356/339, 3380/2569.
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 5356/339,3380/2569?
Given fractions are 5356/339,3380/2569
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 5356/339,3380/2569, numerators are 5356,3380
Denominators are 339,2569
The GCF of 5356,3380 is 52 .
LCM of 339,2569 is 870891.
The greatest common factor of 5356/339,3380/2569 = [GCF of 5356,3380]/[LCM of 339,2569]= 52/870891
Therefore, the GCF of 5356/339,3380/2569 is 52/870891.
To find the highest common factor of 5356,3380, we have to find the factors of both numbers and list the highest common factor.
The factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356
The factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380
The HCF of 5356,3380 is 52.
Lets's calculate GCF of 5356,3380
| 2 | 5356, 3380 |
| 2 | 2678, 1690 |
| 13 | 1339, 845 |
| 103, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 5356,3380 By Matching Biggest Common Factor Method
Now, list down the factors of 5356
:1,2,4,13,26,52,103,206,412,1339,2678,5356
Now, list down the factors of 3380
:1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380
Greatest Common Factor
We found the factors 5356,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,3380 is 52.
Lets's calculate LCM of 339,2569
Given numbers has no common factors except 1. So, there LCM is their product i.e 870891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/870891
Therefore, the GCF of Fractions 5356/339,3380/2569 is 52/870891
Least Common Multiple of 339,2569 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 339,2569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,2569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,2569) x common factors =1 x 1 = 1
LCM(339,2569) = ( 339 × 2569 ) / 1
LCM(339,2569) = 870891 / 1
LCM(339,2569) = 870891
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FAQs on GCF of Fractions of 5356/339, 3380/2569
1. What is the HCF of 5356,3380?
The HCF of 5356,3380 is 52
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 5356/339, 3380/2569?
Answer: GCF of Numerators as per given numbers 5356/339, 3380/2569 is
GCF of Numerators i.e. for 5356,3380 is 52
LCM of denominators i.e. for 339,2569 is 870891.
Thus, GCF of Fractions is 52/870891.Finally, GCF of Fractions for 5356/339, 3380/2569 is 52/870891.