GCF of 4054/905, 3575/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4054/905, 3575/958 i.e 1/866990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4054/905, 3575/958.
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 4054/905,3575/958?
Given fractions are 4054/905,3575/958
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 4054/905,3575/958, numerators are 4054,3575
Denominators are 905,958
The GCF of 4054,3575 is 1 .
LCM of 905,958 is 866990.
The greatest common factor of 4054/905,3575/958 = [GCF of 4054,3575]/[LCM of 905,958]= 1/866990
Therefore, the GCF of 4054/905,3575/958 is 1/866990.
To find the highest common factor of 4054,3575, we have to find the factors of both numbers and list the highest common factor.
The factors of 4054 are 1, 2, 2027, 4054
The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
The HCF of 4054,3575 is 1.
Lets's calculate GCF of 4054,3575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4054,3575 By Matching Biggest Common Factor Method
Now, list down the factors of 4054
:1,2,2027,4054
Now, list down the factors of 3575
:1,5,11,13,25,55,65,143,275,325,715,3575
Greatest Common Factor
We found the factors 4054,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 4054,3575 is 1.
Lets's calculate LCM of 905,958
Given numbers has no common factors except 1. So, there LCM is their product i.e 866990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/866990
Therefore, the GCF of Fractions 4054/905,3575/958 is 1/866990
Least Common Multiple of 905,958 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 905,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,958) x common factors =1 x 1 = 1
LCM(905,958) = ( 905 × 958 ) / 1
LCM(905,958) = 866990 / 1
LCM(905,958) = 866990
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FAQs on GCF of Fractions of 4054/905, 3575/958
1. What is the HCF of 4054,3575?
The HCF of 4054,3575 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 4054/905, 3575/958?
Answer: GCF of Numerators as per given numbers 4054/905, 3575/958 is
GCF of Numerators i.e. for 4054,3575 is 1
LCM of denominators i.e. for 905,958 is 866990.
Thus, GCF of Fractions is 1/866990.Finally, GCF of Fractions for 4054/905, 3575/958 is 1/866990.