GCF of 5758/897, 5165/3813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5758/897, 5165/3813 i.e 1/1140087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5758/897, 5165/3813.
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 5758/897,5165/3813?
Given fractions are 5758/897,5165/3813
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 5758/897,5165/3813, numerators are 5758,5165
Denominators are 897,3813
The GCF of 5758,5165 is 1 .
LCM of 897,3813 is 1140087.
The greatest common factor of 5758/897,5165/3813 = [GCF of 5758,5165]/[LCM of 897,3813]= 1/1140087
Therefore, the GCF of 5758/897,5165/3813 is 1/1140087.
To find the highest common factor of 5758,5165, we have to find the factors of both numbers and list the highest common factor.
The factors of 5758 are 1, 2, 2879, 5758
The factors of 5165 are 1, 5, 1033, 5165
The HCF of 5758,5165 is 1.
Lets's calculate GCF of 5758,5165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5758,5165 By Matching Biggest Common Factor Method
Now, list down the factors of 5758
:1,2,2879,5758
Now, list down the factors of 5165
:1,5,1033,5165
Greatest Common Factor
We found the factors 5758,5165 . The biggest common factor number is the GCF number.
So the greatest common factor 5758,5165 is 1.
Lets's calculate LCM of 897,3813
| 3 | 897, 3813 |
| 299, 1271 |
∴ So the LCM of the given numbers is 3 x 299 x 1271 = 1140087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1140087
Therefore, the GCF of Fractions 5758/897,5165/3813 is 1/1140087
Least Common Multiple of 897,3813 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 897,3813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,3813) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,3813) x common factors =3 x 1 = 3
LCM(897,3813) = ( 897 × 3813 ) / 3
LCM(897,3813) = 3420261 / 3
LCM(897,3813) = 1140087
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FAQs on GCF of Fractions of 5758/897, 5165/3813
1. What is the HCF of 5758,5165?
The HCF of 5758,5165 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 5758/897, 5165/3813?
Answer: GCF of Numerators as per given numbers 5758/897, 5165/3813 is
GCF of Numerators i.e. for 5758,5165 is 1
LCM of denominators i.e. for 897,3813 is 1140087.
Thus, GCF of Fractions is 1/1140087.Finally, GCF of Fractions for 5758/897, 5165/3813 is 1/1140087.