GCF of 3239/903, 3857/5911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3239/903, 3857/5911 i.e 1/5337633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3239/903, 3857/5911.
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 3239/903,3857/5911?
Given fractions are 3239/903,3857/5911
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 3239/903,3857/5911, numerators are 3239,3857
Denominators are 903,5911
The GCF of 3239,3857 is 1 .
LCM of 903,5911 is 5337633.
The greatest common factor of 3239/903,3857/5911 = [GCF of 3239,3857]/[LCM of 903,5911]= 1/5337633
Therefore, the GCF of 3239/903,3857/5911 is 1/5337633.
To find the highest common factor of 3239,3857, we have to find the factors of both numbers and list the highest common factor.
The factors of 3239 are 1, 41, 79, 3239
The factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857
The HCF of 3239,3857 is 1.
Lets's calculate GCF of 3239,3857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3239,3857 By Matching Biggest Common Factor Method
Now, list down the factors of 3239
:1,41,79,3239
Now, list down the factors of 3857
:1,7,19,29,133,203,551,3857
Greatest Common Factor
We found the factors 3239,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 3239,3857 is 1.
Lets's calculate LCM of 903,5911
Given numbers has no common factors except 1. So, there LCM is their product i.e 5337633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5337633
Therefore, the GCF of Fractions 3239/903,3857/5911 is 1/5337633
Least Common Multiple of 903,5911 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 903,5911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,5911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,5911) x common factors =1 x 1 = 1
LCM(903,5911) = ( 903 × 5911 ) / 1
LCM(903,5911) = 5337633 / 1
LCM(903,5911) = 5337633
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FAQs on GCF of Fractions of 3239/903, 3857/5911
1. What is the HCF of 3239,3857?
The HCF of 3239,3857 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 3239/903, 3857/5911?
Answer: GCF of Numerators as per given numbers 3239/903, 3857/5911 is
GCF of Numerators i.e. for 3239,3857 is 1
LCM of denominators i.e. for 903,5911 is 5337633.
Thus, GCF of Fractions is 1/5337633.Finally, GCF of Fractions for 3239/903, 3857/5911 is 1/5337633.