GCF of 4454/965, 8649/2251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4454/965, 8649/2251 i.e 1/2172215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4454/965, 8649/2251.
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 4454/965,8649/2251?
Given fractions are 4454/965,8649/2251
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 4454/965,8649/2251, numerators are 4454,8649
Denominators are 965,2251
The GCF of 4454,8649 is 1 .
LCM of 965,2251 is 2172215.
The greatest common factor of 4454/965,8649/2251 = [GCF of 4454,8649]/[LCM of 965,2251]= 1/2172215
Therefore, the GCF of 4454/965,8649/2251 is 1/2172215.
To find the highest common factor of 4454,8649, we have to find the factors of both numbers and list the highest common factor.
The factors of 4454 are 1, 2, 17, 34, 131, 262, 2227, 4454
The factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649
The HCF of 4454,8649 is 1.
Lets's calculate GCF of 4454,8649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4454,8649 By Matching Biggest Common Factor Method
Now, list down the factors of 4454
:1,2,17,34,131,262,2227,4454
Now, list down the factors of 8649
:1,3,9,31,93,279,961,2883,8649
Greatest Common Factor
We found the factors 4454,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 4454,8649 is 1.
Lets's calculate LCM of 965,2251
Given numbers has no common factors except 1. So, there LCM is their product i.e 2172215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2172215
Therefore, the GCF of Fractions 4454/965,8649/2251 is 1/2172215
Least Common Multiple of 965,2251 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 965,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,2251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,2251) x common factors =1 x 1 = 1
LCM(965,2251) = ( 965 × 2251 ) / 1
LCM(965,2251) = 2172215 / 1
LCM(965,2251) = 2172215
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FAQs on GCF of Fractions of 4454/965, 8649/2251
1. What is the HCF of 4454,8649?
The HCF of 4454,8649 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 4454/965, 8649/2251?
Answer: GCF of Numerators as per given numbers 4454/965, 8649/2251 is
GCF of Numerators i.e. for 4454,8649 is 1
LCM of denominators i.e. for 965,2251 is 2172215.
Thus, GCF of Fractions is 1/2172215.Finally, GCF of Fractions for 4454/965, 8649/2251 is 1/2172215.