GCF of 3403/827, 6249/5239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3403/827, 6249/5239 i.e 1/4332653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3403/827, 6249/5239.
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 3403/827,6249/5239?
Given fractions are 3403/827,6249/5239
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 3403/827,6249/5239, numerators are 3403,6249
Denominators are 827,5239
The GCF of 3403,6249 is 1 .
LCM of 827,5239 is 4332653.
The greatest common factor of 3403/827,6249/5239 = [GCF of 3403,6249]/[LCM of 827,5239]= 1/4332653
Therefore, the GCF of 3403/827,6249/5239 is 1/4332653.
To find the highest common factor of 3403,6249, we have to find the factors of both numbers and list the highest common factor.
The factors of 3403 are 1, 41, 83, 3403
The factors of 6249 are 1, 3, 2083, 6249
The HCF of 3403,6249 is 1.
Lets's calculate GCF of 3403,6249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3403,6249 By Matching Biggest Common Factor Method
Now, list down the factors of 3403
:1,41,83,3403
Now, list down the factors of 6249
:1,3,2083,6249
Greatest Common Factor
We found the factors 3403,6249 . The biggest common factor number is the GCF number.
So the greatest common factor 3403,6249 is 1.
Lets's calculate LCM of 827,5239
Given numbers has no common factors except 1. So, there LCM is their product i.e 4332653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4332653
Therefore, the GCF of Fractions 3403/827,6249/5239 is 1/4332653
Least Common Multiple of 827,5239 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 827,5239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5239) x common factors =1 x 1 = 1
LCM(827,5239) = ( 827 × 5239 ) / 1
LCM(827,5239) = 4332653 / 1
LCM(827,5239) = 4332653
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FAQs on GCF of Fractions of 3403/827, 6249/5239
1. What is the HCF of 3403,6249?
The HCF of 3403,6249 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 3403/827, 6249/5239?
Answer: GCF of Numerators as per given numbers 3403/827, 6249/5239 is
GCF of Numerators i.e. for 3403,6249 is 1
LCM of denominators i.e. for 827,5239 is 4332653.
Thus, GCF of Fractions is 1/4332653.Finally, GCF of Fractions for 3403/827, 6249/5239 is 1/4332653.