GCF of 2409/916, 3305/7162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2409/916, 3305/7162 i.e 1/3280196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2409/916, 3305/7162.
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 2409/916,3305/7162?
Given fractions are 2409/916,3305/7162
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 2409/916,3305/7162, numerators are 2409,3305
Denominators are 916,7162
The GCF of 2409,3305 is 1 .
LCM of 916,7162 is 3280196.
The greatest common factor of 2409/916,3305/7162 = [GCF of 2409,3305]/[LCM of 916,7162]= 1/3280196
Therefore, the GCF of 2409/916,3305/7162 is 1/3280196.
To find the highest common factor of 2409,3305, we have to find the factors of both numbers and list the highest common factor.
The factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409
The factors of 3305 are 1, 5, 661, 3305
The HCF of 2409,3305 is 1.
Lets's calculate GCF of 2409,3305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2409,3305 By Matching Biggest Common Factor Method
Now, list down the factors of 2409
:1,3,11,33,73,219,803,2409
Now, list down the factors of 3305
:1,5,661,3305
Greatest Common Factor
We found the factors 2409,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 2409,3305 is 1.
Lets's calculate LCM of 916,7162
| 2 | 916, 7162 |
| 458, 3581 |
∴ So the LCM of the given numbers is 2 x 458 x 3581 = 3280196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3280196
Therefore, the GCF of Fractions 2409/916,3305/7162 is 1/3280196
Least Common Multiple of 916,7162 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 916,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,7162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,7162) x common factors =2 x 1 = 2
LCM(916,7162) = ( 916 × 7162 ) / 2
LCM(916,7162) = 6560392 / 2
LCM(916,7162) = 3280196
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FAQs on GCF of Fractions of 2409/916, 3305/7162
1. What is the HCF of 2409,3305?
The HCF of 2409,3305 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 2409/916, 3305/7162?
Answer: GCF of Numerators as per given numbers 2409/916, 3305/7162 is
GCF of Numerators i.e. for 2409,3305 is 1
LCM of denominators i.e. for 916,7162 is 3280196.
Thus, GCF of Fractions is 1/3280196.Finally, GCF of Fractions for 2409/916, 3305/7162 is 1/3280196.