GCF of 9205/449, 5734/3580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9205/449, 5734/3580 i.e 1/1607420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9205/449, 5734/3580.
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 9205/449,5734/3580?
Given fractions are 9205/449,5734/3580
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 9205/449,5734/3580, numerators are 9205,5734
Denominators are 449,3580
The GCF of 9205,5734 is 1 .
LCM of 449,3580 is 1607420.
The greatest common factor of 9205/449,5734/3580 = [GCF of 9205,5734]/[LCM of 449,3580]= 1/1607420
Therefore, the GCF of 9205/449,5734/3580 is 1/1607420.
To find the highest common factor of 9205,5734, we have to find the factors of both numbers and list the highest common factor.
The factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205
The factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734
The HCF of 9205,5734 is 1.
Lets's calculate GCF of 9205,5734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9205,5734 By Matching Biggest Common Factor Method
Now, list down the factors of 9205
:1,5,7,35,263,1315,1841,9205
Now, list down the factors of 5734
:1,2,47,61,94,122,2867,5734
Greatest Common Factor
We found the factors 9205,5734 . The biggest common factor number is the GCF number.
So the greatest common factor 9205,5734 is 1.
Lets's calculate LCM of 449,3580
Given numbers has no common factors except 1. So, there LCM is their product i.e 1607420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1607420
Therefore, the GCF of Fractions 9205/449,5734/3580 is 1/1607420
Least Common Multiple of 449,3580 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 449,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,3580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,3580) x common factors =1 x 1 = 1
LCM(449,3580) = ( 449 × 3580 ) / 1
LCM(449,3580) = 1607420 / 1
LCM(449,3580) = 1607420
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FAQs on GCF of Fractions of 9205/449, 5734/3580
1. What is the HCF of 9205,5734?
The HCF of 9205,5734 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 9205/449, 5734/3580?
Answer: GCF of Numerators as per given numbers 9205/449, 5734/3580 is
GCF of Numerators i.e. for 9205,5734 is 1
LCM of denominators i.e. for 449,3580 is 1607420.
Thus, GCF of Fractions is 1/1607420.Finally, GCF of Fractions for 9205/449, 5734/3580 is 1/1607420.