GCF of 2097/455, 3655/2910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2097/455, 3655/2910 i.e 1/264810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2097/455, 3655/2910.
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 2097/455,3655/2910?
Given fractions are 2097/455,3655/2910
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 2097/455,3655/2910, numerators are 2097,3655
Denominators are 455,2910
The GCF of 2097,3655 is 1 .
LCM of 455,2910 is 264810.
The greatest common factor of 2097/455,3655/2910 = [GCF of 2097,3655]/[LCM of 455,2910]= 1/264810
Therefore, the GCF of 2097/455,3655/2910 is 1/264810.
To find the highest common factor of 2097,3655, we have to find the factors of both numbers and list the highest common factor.
The factors of 2097 are 1, 3, 9, 233, 699, 2097
The factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655
The HCF of 2097,3655 is 1.
Lets's calculate GCF of 2097,3655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2097,3655 By Matching Biggest Common Factor Method
Now, list down the factors of 2097
:1,3,9,233,699,2097
Now, list down the factors of 3655
:1,5,17,43,85,215,731,3655
Greatest Common Factor
We found the factors 2097,3655 . The biggest common factor number is the GCF number.
So the greatest common factor 2097,3655 is 1.
Lets's calculate LCM of 455,2910
| 5 | 455, 2910 |
| 91, 582 |
∴ So the LCM of the given numbers is 5 x 91 x 582 = 264810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264810
Therefore, the GCF of Fractions 2097/455,3655/2910 is 1/264810
Least Common Multiple of 455,2910 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 455,2910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,2910) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(455,2910) x common factors =5 x 1 = 5
LCM(455,2910) = ( 455 × 2910 ) / 5
LCM(455,2910) = 1324050 / 5
LCM(455,2910) = 264810
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FAQs on GCF of Fractions of 2097/455, 3655/2910
1. What is the HCF of 2097,3655?
The HCF of 2097,3655 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 2097/455, 3655/2910?
Answer: GCF of Numerators as per given numbers 2097/455, 3655/2910 is
GCF of Numerators i.e. for 2097,3655 is 1
LCM of denominators i.e. for 455,2910 is 264810.
Thus, GCF of Fractions is 1/264810.Finally, GCF of Fractions for 2097/455, 3655/2910 is 1/264810.