GCF of 6083/364, 3311/5507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6083/364, 3311/5507 i.e 77/2004548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6083/364, 3311/5507.
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 6083/364,3311/5507?
Given fractions are 6083/364,3311/5507
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 6083/364,3311/5507, numerators are 6083,3311
Denominators are 364,5507
The GCF of 6083,3311 is 77 .
LCM of 364,5507 is 2004548.
The greatest common factor of 6083/364,3311/5507 = [GCF of 6083,3311]/[LCM of 364,5507]= 77/2004548
Therefore, the GCF of 6083/364,3311/5507 is 77/2004548.
To find the highest common factor of 6083,3311, we have to find the factors of both numbers and list the highest common factor.
The factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083
The factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311
The HCF of 6083,3311 is 77.
Lets's calculate GCF of 6083,3311
| 7 | 6083, 3311 |
| 11 | 869, 473 |
| 79, 43 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Greatest Common Factor of 6083,3311 By Matching Biggest Common Factor Method
Now, list down the factors of 6083
:1,7,11,77,79,553,869,6083
Now, list down the factors of 3311
:1,7,11,43,77,301,473,3311
Greatest Common Factor
We found the factors 6083,3311 . The biggest common factor number is the GCF number.
So the greatest common factor 6083,3311 is 77.
Lets's calculate LCM of 364,5507
Given numbers has no common factors except 1. So, there LCM is their product i.e 2004548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/2004548
Therefore, the GCF of Fractions 6083/364,3311/5507 is 77/2004548
Least Common Multiple of 364,5507 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 364,5507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,5507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,5507) x common factors =1 x 1 = 1
LCM(364,5507) = ( 364 × 5507 ) / 1
LCM(364,5507) = 2004548 / 1
LCM(364,5507) = 2004548
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FAQs on GCF of Fractions of 6083/364, 3311/5507
1. What is the HCF of 6083,3311?
The HCF of 6083,3311 is 77
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 6083/364, 3311/5507?
Answer: GCF of Numerators as per given numbers 6083/364, 3311/5507 is
GCF of Numerators i.e. for 6083,3311 is 77
LCM of denominators i.e. for 364,5507 is 2004548.
Thus, GCF of Fractions is 77/2004548.Finally, GCF of Fractions for 6083/364, 3311/5507 is 77/2004548.