GCF of 2898/795, 7695/3554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2898/795, 7695/3554 i.e 9/2825430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2898/795, 7695/3554.
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 2898/795,7695/3554?
Given fractions are 2898/795,7695/3554
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 2898/795,7695/3554, numerators are 2898,7695
Denominators are 795,3554
The GCF of 2898,7695 is 9 .
LCM of 795,3554 is 2825430.
The greatest common factor of 2898/795,7695/3554 = [GCF of 2898,7695]/[LCM of 795,3554]= 9/2825430
Therefore, the GCF of 2898/795,7695/3554 is 9/2825430.
To find the highest common factor of 2898,7695, we have to find the factors of both numbers and list the highest common factor.
The factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
The factors of 7695 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 285, 405, 513, 855, 1539, 2565, 7695
The HCF of 2898,7695 is 9.
Lets's calculate GCF of 2898,7695
| 3 | 2898, 7695 |
| 3 | 966, 2565 |
| 322, 855 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2898,7695 By Matching Biggest Common Factor Method
Now, list down the factors of 2898
:1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Now, list down the factors of 7695
:1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695
Greatest Common Factor
We found the factors 2898,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 2898,7695 is 9.
Lets's calculate LCM of 795,3554
Given numbers has no common factors except 1. So, there LCM is their product i.e 2825430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2825430
Therefore, the GCF of Fractions 2898/795,7695/3554 is 9/2825430
Least Common Multiple of 795,3554 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 795,3554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,3554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,3554) x common factors =1 x 1 = 1
LCM(795,3554) = ( 795 × 3554 ) / 1
LCM(795,3554) = 2825430 / 1
LCM(795,3554) = 2825430
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FAQs on GCF of Fractions of 2898/795, 7695/3554
1. What is the HCF of 2898,7695?
The HCF of 2898,7695 is 9
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 2898/795, 7695/3554?
Answer: GCF of Numerators as per given numbers 2898/795, 7695/3554 is
GCF of Numerators i.e. for 2898,7695 is 9
LCM of denominators i.e. for 795,3554 is 2825430.
Thus, GCF of Fractions is 9/2825430.Finally, GCF of Fractions for 2898/795, 7695/3554 is 9/2825430.