GCF of 2251/305, 3295/9805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2251/305, 3295/9805 i.e 1/598105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2251/305, 3295/9805.
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 2251/305,3295/9805?
Given fractions are 2251/305,3295/9805
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 2251/305,3295/9805, numerators are 2251,3295
Denominators are 305,9805
The GCF of 2251,3295 is 1 .
LCM of 305,9805 is 598105.
The greatest common factor of 2251/305,3295/9805 = [GCF of 2251,3295]/[LCM of 305,9805]= 1/598105
Therefore, the GCF of 2251/305,3295/9805 is 1/598105.
To find the highest common factor of 2251,3295, we have to find the factors of both numbers and list the highest common factor.
The factors of 2251 are 1, 2251
The factors of 3295 are 1, 5, 659, 3295
The HCF of 2251,3295 is 1.
Lets's calculate GCF of 2251,3295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2251,3295 By Matching Biggest Common Factor Method
Now, list down the factors of 2251
:1,2251
Now, list down the factors of 3295
:1,5,659,3295
Greatest Common Factor
We found the factors 2251,3295 . The biggest common factor number is the GCF number.
So the greatest common factor 2251,3295 is 1.
Lets's calculate LCM of 305,9805
| 5 | 305, 9805 |
| 61, 1961 |
∴ So the LCM of the given numbers is 5 x 61 x 1961 = 598105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598105
Therefore, the GCF of Fractions 2251/305,3295/9805 is 1/598105
Least Common Multiple of 305,9805 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 305,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,9805) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,9805) x common factors =5 x 1 = 5
LCM(305,9805) = ( 305 × 9805 ) / 5
LCM(305,9805) = 2990525 / 5
LCM(305,9805) = 598105
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FAQs on GCF of Fractions of 2251/305, 3295/9805
1. What is the HCF of 2251,3295?
The HCF of 2251,3295 is 1
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 2251/305, 3295/9805?
Answer: GCF of Numerators as per given numbers 2251/305, 3295/9805 is
GCF of Numerators i.e. for 2251,3295 is 1
LCM of denominators i.e. for 305,9805 is 598105.
Thus, GCF of Fractions is 1/598105.Finally, GCF of Fractions for 2251/305, 3295/9805 is 1/598105.