GCF of 1767/904, 6093/6102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1767/904, 6093/6102 i.e 3/24408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1767/904, 6093/6102.
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 1767/904,6093/6102?
Given fractions are 1767/904,6093/6102
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 1767/904,6093/6102, numerators are 1767,6093
Denominators are 904,6102
The GCF of 1767,6093 is 3 .
LCM of 904,6102 is 24408.
The greatest common factor of 1767/904,6093/6102 = [GCF of 1767,6093]/[LCM of 904,6102]= 3/24408
Therefore, the GCF of 1767/904,6093/6102 is 3/24408.
To find the highest common factor of 1767,6093, we have to find the factors of both numbers and list the highest common factor.
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The factors of 6093 are 1, 3, 9, 677, 2031, 6093
The HCF of 1767,6093 is 3.
Lets's calculate GCF of 1767,6093
| 3 | 1767, 6093 |
| 589, 2031 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1767,6093 By Matching Biggest Common Factor Method
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Now, list down the factors of 6093
:1,3,9,677,2031,6093
Greatest Common Factor
We found the factors 1767,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 1767,6093 is 3.
Lets's calculate LCM of 904,6102
| 2 | 904, 6102 |
| 113 | 452, 3051 |
| 4, 27 |
∴ So the LCM of the given numbers is 2 x 113 x 4 x 27 = 24408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24408
Therefore, the GCF of Fractions 1767/904,6093/6102 is 3/24408
Least Common Multiple of 904,6102 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 904,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,6102) = 226
common factors(in case of two or more numbers have common factors) = 1
GCF(904,6102) x common factors =226 x 1 = 226
LCM(904,6102) = ( 904 × 6102 ) / 226
LCM(904,6102) = 5516208 / 226
LCM(904,6102) = 24408
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FAQs on GCF of Fractions of 1767/904, 6093/6102
1. What is the HCF of 1767,6093?
The HCF of 1767,6093 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 1767/904, 6093/6102?
Answer: GCF of Numerators as per given numbers 1767/904, 6093/6102 is
GCF of Numerators i.e. for 1767,6093 is 3
LCM of denominators i.e. for 904,6102 is 24408.
Thus, GCF of Fractions is 3/24408.Finally, GCF of Fractions for 1767/904, 6093/6102 is 3/24408.