GCF of 3899/945, 5513/5364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3899/945, 5513/5364 i.e 1/563220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3899/945, 5513/5364.
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 3899/945,5513/5364?
Given fractions are 3899/945,5513/5364
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 3899/945,5513/5364, numerators are 3899,5513
Denominators are 945,5364
The GCF of 3899,5513 is 1 .
LCM of 945,5364 is 563220.
The greatest common factor of 3899/945,5513/5364 = [GCF of 3899,5513]/[LCM of 945,5364]= 1/563220
Therefore, the GCF of 3899/945,5513/5364 is 1/563220.
To find the highest common factor of 3899,5513, we have to find the factors of both numbers and list the highest common factor.
The factors of 3899 are 1, 7, 557, 3899
The factors of 5513 are 1, 37, 149, 5513
The HCF of 3899,5513 is 1.
Lets's calculate GCF of 3899,5513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3899,5513 By Matching Biggest Common Factor Method
Now, list down the factors of 3899
:1,7,557,3899
Now, list down the factors of 5513
:1,37,149,5513
Greatest Common Factor
We found the factors 3899,5513 . The biggest common factor number is the GCF number.
So the greatest common factor 3899,5513 is 1.
Lets's calculate LCM of 945,5364
| 3 | 945, 5364 |
| 3 | 315, 1788 |
| 105, 596 |
∴ So the LCM of the given numbers is 3 x 3 x 105 x 596 = 563220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563220
Therefore, the GCF of Fractions 3899/945,5513/5364 is 1/563220
Least Common Multiple of 945,5364 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 945,5364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,5364) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(945,5364) x common factors =9 x 1 = 9
LCM(945,5364) = ( 945 × 5364 ) / 9
LCM(945,5364) = 5068980 / 9
LCM(945,5364) = 563220
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FAQs on GCF of Fractions of 3899/945, 5513/5364
1. What is the HCF of 3899,5513?
The HCF of 3899,5513 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 3899/945, 5513/5364?
Answer: GCF of Numerators as per given numbers 3899/945, 5513/5364 is
GCF of Numerators i.e. for 3899,5513 is 1
LCM of denominators i.e. for 945,5364 is 563220.
Thus, GCF of Fractions is 1/563220.Finally, GCF of Fractions for 3899/945, 5513/5364 is 1/563220.