GCF of 5469/339, 1446/5159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5469/339, 1446/5159 i.e 3/1748901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5469/339, 1446/5159.
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 5469/339,1446/5159?
Given fractions are 5469/339,1446/5159
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 5469/339,1446/5159, numerators are 5469,1446
Denominators are 339,5159
The GCF of 5469,1446 is 3 .
LCM of 339,5159 is 1748901.
The greatest common factor of 5469/339,1446/5159 = [GCF of 5469,1446]/[LCM of 339,5159]= 3/1748901
Therefore, the GCF of 5469/339,1446/5159 is 3/1748901.
To find the highest common factor of 5469,1446, we have to find the factors of both numbers and list the highest common factor.
The factors of 5469 are 1, 3, 1823, 5469
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The HCF of 5469,1446 is 3.
Lets's calculate GCF of 5469,1446
| 3 | 5469, 1446 |
| 1823, 482 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5469,1446 By Matching Biggest Common Factor Method
Now, list down the factors of 5469
:1,3,1823,5469
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors 5469,1446 . The biggest common factor number is the GCF number.
So the greatest common factor 5469,1446 is 3.
Lets's calculate LCM of 339,5159
Given numbers has no common factors except 1. So, there LCM is their product i.e 1748901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1748901
Therefore, the GCF of Fractions 5469/339,1446/5159 is 3/1748901
Least Common Multiple of 339,5159 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 339,5159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,5159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,5159) x common factors =1 x 1 = 1
LCM(339,5159) = ( 339 × 5159 ) / 1
LCM(339,5159) = 1748901 / 1
LCM(339,5159) = 1748901
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FAQs on GCF of Fractions of 5469/339, 1446/5159
1. What is the HCF of 5469,1446?
The HCF of 5469,1446 is 3
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 5469/339, 1446/5159?
Answer: GCF of Numerators as per given numbers 5469/339, 1446/5159 is
GCF of Numerators i.e. for 5469,1446 is 3
LCM of denominators i.e. for 339,5159 is 1748901.
Thus, GCF of Fractions is 3/1748901.Finally, GCF of Fractions for 5469/339, 1446/5159 is 3/1748901.