GCF of 5189/909, 6137/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5189/909, 6137/483 i.e 1/146349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5189/909, 6137/483.
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 5189/909,6137/483?
Given fractions are 5189/909,6137/483
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 5189/909,6137/483, numerators are 5189,6137
Denominators are 909,483
The GCF of 5189,6137 is 1 .
LCM of 909,483 is 146349.
The greatest common factor of 5189/909,6137/483 = [GCF of 5189,6137]/[LCM of 909,483]= 1/146349
Therefore, the GCF of 5189/909,6137/483 is 1/146349.
To find the highest common factor of 5189,6137, we have to find the factors of both numbers and list the highest common factor.
The factors of 5189 are 1, 5189
The factors of 6137 are 1, 17, 19, 323, 361, 6137
The HCF of 5189,6137 is 1.
Lets's calculate GCF of 5189,6137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5189,6137 By Matching Biggest Common Factor Method
Now, list down the factors of 5189
:1,5189
Now, list down the factors of 6137
:1,17,19,323,361,6137
Greatest Common Factor
We found the factors 5189,6137 . The biggest common factor number is the GCF number.
So the greatest common factor 5189,6137 is 1.
Lets's calculate LCM of 909,483
| 3 | 909, 483 |
| 303, 161 |
∴ So the LCM of the given numbers is 3 x 303 x 161 = 146349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146349
Therefore, the GCF of Fractions 5189/909,6137/483 is 1/146349
Least Common Multiple of 909,483 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 909,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,483) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(909,483) x common factors =3 x 1 = 3
LCM(909,483) = ( 909 × 483 ) / 3
LCM(909,483) = 439047 / 3
LCM(909,483) = 146349
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FAQs on GCF of Fractions of 5189/909, 6137/483
1. What is the HCF of 5189,6137?
The HCF of 5189,6137 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 5189/909, 6137/483?
Answer: GCF of Numerators as per given numbers 5189/909, 6137/483 is
GCF of Numerators i.e. for 5189,6137 is 1
LCM of denominators i.e. for 909,483 is 146349.
Thus, GCF of Fractions is 1/146349.Finally, GCF of Fractions for 5189/909, 6137/483 is 1/146349.