GCF of 1432/431, 9839/4136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1432/431, 9839/4136 i.e 1/1782616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1432/431, 9839/4136.
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 1432/431,9839/4136?
Given fractions are 1432/431,9839/4136
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 1432/431,9839/4136, numerators are 1432,9839
Denominators are 431,4136
The GCF of 1432,9839 is 1 .
LCM of 431,4136 is 1782616.
The greatest common factor of 1432/431,9839/4136 = [GCF of 1432,9839]/[LCM of 431,4136]= 1/1782616
Therefore, the GCF of 1432/431,9839/4136 is 1/1782616.
To find the highest common factor of 1432,9839, we have to find the factors of both numbers and list the highest common factor.
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432
The factors of 9839 are 1, 9839
The HCF of 1432,9839 is 1.
Lets's calculate GCF of 1432,9839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1432,9839 By Matching Biggest Common Factor Method
Now, list down the factors of 1432
:1,2,4,8,179,358,716,1432
Now, list down the factors of 9839
:1,9839
Greatest Common Factor
We found the factors 1432,9839 . The biggest common factor number is the GCF number.
So the greatest common factor 1432,9839 is 1.
Lets's calculate LCM of 431,4136
Given numbers has no common factors except 1. So, there LCM is their product i.e 1782616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1782616
Therefore, the GCF of Fractions 1432/431,9839/4136 is 1/1782616
Least Common Multiple of 431,4136 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 431,4136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,4136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,4136) x common factors =1 x 1 = 1
LCM(431,4136) = ( 431 × 4136 ) / 1
LCM(431,4136) = 1782616 / 1
LCM(431,4136) = 1782616
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FAQs on GCF of Fractions of 1432/431, 9839/4136
1. What is the HCF of 1432,9839?
The HCF of 1432,9839 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 1432/431, 9839/4136?
Answer: GCF of Numerators as per given numbers 1432/431, 9839/4136 is
GCF of Numerators i.e. for 1432,9839 is 1
LCM of denominators i.e. for 431,4136 is 1782616.
Thus, GCF of Fractions is 1/1782616.Finally, GCF of Fractions for 1432/431, 9839/4136 is 1/1782616.