GCF of 9889/233, 4142/4211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9889/233, 4142/4211 i.e 1/981163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9889/233, 4142/4211.
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 9889/233,4142/4211?
Given fractions are 9889/233,4142/4211
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 9889/233,4142/4211, numerators are 9889,4142
Denominators are 233,4211
The GCF of 9889,4142 is 1 .
LCM of 233,4211 is 981163.
The greatest common factor of 9889/233,4142/4211 = [GCF of 9889,4142]/[LCM of 233,4211]= 1/981163
Therefore, the GCF of 9889/233,4142/4211 is 1/981163.
To find the highest common factor of 9889,4142, we have to find the factors of both numbers and list the highest common factor.
The factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889
The factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142
The HCF of 9889,4142 is 1.
Lets's calculate GCF of 9889,4142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9889,4142 By Matching Biggest Common Factor Method
Now, list down the factors of 9889
:1,11,29,31,319,341,899,9889
Now, list down the factors of 4142
:1,2,19,38,109,218,2071,4142
Greatest Common Factor
We found the factors 9889,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 9889,4142 is 1.
Lets's calculate LCM of 233,4211
Given numbers has no common factors except 1. So, there LCM is their product i.e 981163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/981163
Therefore, the GCF of Fractions 9889/233,4142/4211 is 1/981163
Least Common Multiple of 233,4211 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 233,4211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,4211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,4211) x common factors =1 x 1 = 1
LCM(233,4211) = ( 233 × 4211 ) / 1
LCM(233,4211) = 981163 / 1
LCM(233,4211) = 981163
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FAQs on GCF of Fractions of 9889/233, 4142/4211
1. What is the HCF of 9889,4142?
The HCF of 9889,4142 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 9889/233, 4142/4211?
Answer: GCF of Numerators as per given numbers 9889/233, 4142/4211 is
GCF of Numerators i.e. for 9889,4142 is 1
LCM of denominators i.e. for 233,4211 is 981163.
Thus, GCF of Fractions is 1/981163.Finally, GCF of Fractions for 9889/233, 4142/4211 is 1/981163.