GCF of 6259/665, 2904/2651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6259/665, 2904/2651 i.e 11/1762915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6259/665, 2904/2651.
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 6259/665,2904/2651?
Given fractions are 6259/665,2904/2651
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 6259/665,2904/2651, numerators are 6259,2904
Denominators are 665,2651
The GCF of 6259,2904 is 11 .
LCM of 665,2651 is 1762915.
The greatest common factor of 6259/665,2904/2651 = [GCF of 6259,2904]/[LCM of 665,2651]= 11/1762915
Therefore, the GCF of 6259/665,2904/2651 is 11/1762915.
To find the highest common factor of 6259,2904, we have to find the factors of both numbers and list the highest common factor.
The factors of 6259 are 1, 11, 569, 6259
The factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
The HCF of 6259,2904 is 11.
Lets's calculate GCF of 6259,2904
| 11 | 6259, 2904 |
| 569, 264 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6259,2904 By Matching Biggest Common Factor Method
Now, list down the factors of 6259
:1,11,569,6259
Now, list down the factors of 2904
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Greatest Common Factor
We found the factors 6259,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 6259,2904 is 11.
Lets's calculate LCM of 665,2651
Given numbers has no common factors except 1. So, there LCM is their product i.e 1762915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1762915
Therefore, the GCF of Fractions 6259/665,2904/2651 is 11/1762915
Least Common Multiple of 665,2651 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 665,2651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,2651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,2651) x common factors =1 x 1 = 1
LCM(665,2651) = ( 665 × 2651 ) / 1
LCM(665,2651) = 1762915 / 1
LCM(665,2651) = 1762915
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FAQs on GCF of Fractions of 6259/665, 2904/2651
1. What is the HCF of 6259,2904?
The HCF of 6259,2904 is 11
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 6259/665, 2904/2651?
Answer: GCF of Numerators as per given numbers 6259/665, 2904/2651 is
GCF of Numerators i.e. for 6259,2904 is 11
LCM of denominators i.e. for 665,2651 is 1762915.
Thus, GCF of Fractions is 11/1762915.Finally, GCF of Fractions for 6259/665, 2904/2651 is 11/1762915.