GCF of 958/83, 221/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 958/83, 221/409 i.e 1/33947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/83, 221/409.
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 958/83,221/409?
Given fractions are 958/83,221/409
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 958/83,221/409, numerators are 958,221
Denominators are 83,409
The GCF of 958,221 is 1 .
LCM of 83,409 is 33947.
The greatest common factor of 958/83,221/409 = [GCF of 958,221]/[LCM of 83,409]= 1/33947
Therefore, the GCF of 958/83,221/409 is 1/33947.
To find the highest common factor of 958,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 958 are 1, 2, 479, 958
The factors of 221 are 1, 13, 17, 221
The HCF of 958,221 is 1.
Lets's calculate GCF of 958,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 958,221 By Matching Biggest Common Factor Method
Now, list down the factors of 958
:1,2,479,958
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 958,221 . The biggest common factor number is the GCF number.
So the greatest common factor 958,221 is 1.
Lets's calculate LCM of 83,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 33947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33947
Therefore, the GCF of Fractions 958/83,221/409 is 1/33947
Least Common Multiple of 83,409 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 83,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,409) x common factors =1 x 1 = 1
LCM(83,409) = ( 83 × 409 ) / 1
LCM(83,409) = 33947 / 1
LCM(83,409) = 33947
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FAQs on GCF of Fractions of 958/83, 221/409
1. What is the HCF of 958,221?
The HCF of 958,221 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 958/83, 221/409?
Answer: GCF of Numerators as per given numbers 958/83, 221/409 is
GCF of Numerators i.e. for 958,221 is 1
LCM of denominators i.e. for 83,409 is 33947.
Thus, GCF of Fractions is 1/33947.Finally, GCF of Fractions for 958/83, 221/409 is 1/33947.