GCF of 3499/905, 5961/3133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3499/905, 5961/3133 i.e 1/2835365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3499/905, 5961/3133.
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 3499/905,5961/3133?
Given fractions are 3499/905,5961/3133
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 3499/905,5961/3133, numerators are 3499,5961
Denominators are 905,3133
The GCF of 3499,5961 is 1 .
LCM of 905,3133 is 2835365.
The greatest common factor of 3499/905,5961/3133 = [GCF of 3499,5961]/[LCM of 905,3133]= 1/2835365
Therefore, the GCF of 3499/905,5961/3133 is 1/2835365.
To find the highest common factor of 3499,5961, we have to find the factors of both numbers and list the highest common factor.
The factors of 3499 are 1, 3499
The factors of 5961 are 1, 3, 1987, 5961
The HCF of 3499,5961 is 1.
Lets's calculate GCF of 3499,5961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3499,5961 By Matching Biggest Common Factor Method
Now, list down the factors of 3499
:1,3499
Now, list down the factors of 5961
:1,3,1987,5961
Greatest Common Factor
We found the factors 3499,5961 . The biggest common factor number is the GCF number.
So the greatest common factor 3499,5961 is 1.
Lets's calculate LCM of 905,3133
Given numbers has no common factors except 1. So, there LCM is their product i.e 2835365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2835365
Therefore, the GCF of Fractions 3499/905,5961/3133 is 1/2835365
Least Common Multiple of 905,3133 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 905,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,3133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,3133) x common factors =1 x 1 = 1
LCM(905,3133) = ( 905 × 3133 ) / 1
LCM(905,3133) = 2835365 / 1
LCM(905,3133) = 2835365
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FAQs on GCF of Fractions of 3499/905, 5961/3133
1. What is the HCF of 3499,5961?
The HCF of 3499,5961 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 3499/905, 5961/3133?
Answer: GCF of Numerators as per given numbers 3499/905, 5961/3133 is
GCF of Numerators i.e. for 3499,5961 is 1
LCM of denominators i.e. for 905,3133 is 2835365.
Thus, GCF of Fractions is 1/2835365.Finally, GCF of Fractions for 3499/905, 5961/3133 is 1/2835365.