GCF of 3639/838, 3236/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3639/838, 3236/431 i.e 1/361178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3639/838, 3236/431.
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 3639/838,3236/431?
Given fractions are 3639/838,3236/431
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 3639/838,3236/431, numerators are 3639,3236
Denominators are 838,431
The GCF of 3639,3236 is 1 .
LCM of 838,431 is 361178.
The greatest common factor of 3639/838,3236/431 = [GCF of 3639,3236]/[LCM of 838,431]= 1/361178
Therefore, the GCF of 3639/838,3236/431 is 1/361178.
To find the highest common factor of 3639,3236, we have to find the factors of both numbers and list the highest common factor.
The factors of 3639 are 1, 3, 1213, 3639
The factors of 3236 are 1, 2, 4, 809, 1618, 3236
The HCF of 3639,3236 is 1.
Lets's calculate GCF of 3639,3236
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3639,3236 By Matching Biggest Common Factor Method
Now, list down the factors of 3639
:1,3,1213,3639
Now, list down the factors of 3236
:1,2,4,809,1618,3236
Greatest Common Factor
We found the factors 3639,3236 . The biggest common factor number is the GCF number.
So the greatest common factor 3639,3236 is 1.
Lets's calculate LCM of 838,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 361178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361178
Therefore, the GCF of Fractions 3639/838,3236/431 is 1/361178
Least Common Multiple of 838,431 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 838,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,431) x common factors =1 x 1 = 1
LCM(838,431) = ( 838 × 431 ) / 1
LCM(838,431) = 361178 / 1
LCM(838,431) = 361178
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FAQs on GCF of Fractions of 3639/838, 3236/431
1. What is the HCF of 3639,3236?
The HCF of 3639,3236 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 3639/838, 3236/431?
Answer: GCF of Numerators as per given numbers 3639/838, 3236/431 is
GCF of Numerators i.e. for 3639,3236 is 1
LCM of denominators i.e. for 838,431 is 361178.
Thus, GCF of Fractions is 1/361178.Finally, GCF of Fractions for 3639/838, 3236/431 is 1/361178.