GCF of 2859/665, 1251/9241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2859/665, 1251/9241 i.e 3/6145265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2859/665, 1251/9241.
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 2859/665,1251/9241?
Given fractions are 2859/665,1251/9241
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 2859/665,1251/9241, numerators are 2859,1251
Denominators are 665,9241
The GCF of 2859,1251 is 3 .
LCM of 665,9241 is 6145265.
The greatest common factor of 2859/665,1251/9241 = [GCF of 2859,1251]/[LCM of 665,9241]= 3/6145265
Therefore, the GCF of 2859/665,1251/9241 is 3/6145265.
To find the highest common factor of 2859,1251, we have to find the factors of both numbers and list the highest common factor.
The factors of 2859 are 1, 3, 953, 2859
The factors of 1251 are 1, 3, 9, 139, 417, 1251
The HCF of 2859,1251 is 3.
Lets's calculate GCF of 2859,1251
| 3 | 2859, 1251 |
| 953, 417 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2859,1251 By Matching Biggest Common Factor Method
Now, list down the factors of 2859
:1,3,953,2859
Now, list down the factors of 1251
:1,3,9,139,417,1251
Greatest Common Factor
We found the factors 2859,1251 . The biggest common factor number is the GCF number.
So the greatest common factor 2859,1251 is 3.
Lets's calculate LCM of 665,9241
Given numbers has no common factors except 1. So, there LCM is their product i.e 6145265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6145265
Therefore, the GCF of Fractions 2859/665,1251/9241 is 3/6145265
Least Common Multiple of 665,9241 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 665,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,9241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,9241) x common factors =1 x 1 = 1
LCM(665,9241) = ( 665 × 9241 ) / 1
LCM(665,9241) = 6145265 / 1
LCM(665,9241) = 6145265
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FAQs on GCF of Fractions of 2859/665, 1251/9241
1. What is the HCF of 2859,1251?
The HCF of 2859,1251 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 2859/665, 1251/9241?
Answer: GCF of Numerators as per given numbers 2859/665, 1251/9241 is
GCF of Numerators i.e. for 2859,1251 is 3
LCM of denominators i.e. for 665,9241 is 6145265.
Thus, GCF of Fractions is 3/6145265.Finally, GCF of Fractions for 2859/665, 1251/9241 is 3/6145265.