GCF of 6045/123, 1251/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6045/123, 1251/682 i.e 3/83886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6045/123, 1251/682.
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 6045/123,1251/682?
Given fractions are 6045/123,1251/682
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 6045/123,1251/682, numerators are 6045,1251
Denominators are 123,682
The GCF of 6045,1251 is 3 .
LCM of 123,682 is 83886.
The greatest common factor of 6045/123,1251/682 = [GCF of 6045,1251]/[LCM of 123,682]= 3/83886
Therefore, the GCF of 6045/123,1251/682 is 3/83886.
To find the highest common factor of 6045,1251, we have to find the factors of both numbers and list the highest common factor.
The factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
The factors of 1251 are 1, 3, 9, 139, 417, 1251
The HCF of 6045,1251 is 3.
Lets's calculate GCF of 6045,1251
| 3 | 6045, 1251 |
| 2015, 417 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6045,1251 By Matching Biggest Common Factor Method
Now, list down the factors of 6045
:1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Now, list down the factors of 1251
:1,3,9,139,417,1251
Greatest Common Factor
We found the factors 6045,1251 . The biggest common factor number is the GCF number.
So the greatest common factor 6045,1251 is 3.
Lets's calculate LCM of 123,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 83886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83886
Therefore, the GCF of Fractions 6045/123,1251/682 is 3/83886
Least Common Multiple of 123,682 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 123,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,682) x common factors =1 x 1 = 1
LCM(123,682) = ( 123 × 682 ) / 1
LCM(123,682) = 83886 / 1
LCM(123,682) = 83886
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FAQs on GCF of Fractions of 6045/123, 1251/682
1. What is the HCF of 6045,1251?
The HCF of 6045,1251 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 6045/123, 1251/682?
Answer: GCF of Numerators as per given numbers 6045/123, 1251/682 is
GCF of Numerators i.e. for 6045,1251 is 3
LCM of denominators i.e. for 123,682 is 83886.
Thus, GCF of Fractions is 3/83886.Finally, GCF of Fractions for 6045/123, 1251/682 is 3/83886.