GCF of 3221/133, 5318/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3221/133, 5318/421 i.e 1/55993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3221/133, 5318/421.
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 3221/133,5318/421?
Given fractions are 3221/133,5318/421
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 3221/133,5318/421, numerators are 3221,5318
Denominators are 133,421
The GCF of 3221,5318 is 1 .
LCM of 133,421 is 55993.
The greatest common factor of 3221/133,5318/421 = [GCF of 3221,5318]/[LCM of 133,421]= 1/55993
Therefore, the GCF of 3221/133,5318/421 is 1/55993.
To find the highest common factor of 3221,5318, we have to find the factors of both numbers and list the highest common factor.
The factors of 3221 are 1, 3221
The factors of 5318 are 1, 2, 2659, 5318
The HCF of 3221,5318 is 1.
Lets's calculate GCF of 3221,5318
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3221,5318 By Matching Biggest Common Factor Method
Now, list down the factors of 3221
:1,3221
Now, list down the factors of 5318
:1,2,2659,5318
Greatest Common Factor
We found the factors 3221,5318 . The biggest common factor number is the GCF number.
So the greatest common factor 3221,5318 is 1.
Lets's calculate LCM of 133,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 55993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55993
Therefore, the GCF of Fractions 3221/133,5318/421 is 1/55993
Least Common Multiple of 133,421 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 133,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,421) x common factors =1 x 1 = 1
LCM(133,421) = ( 133 × 421 ) / 1
LCM(133,421) = 55993 / 1
LCM(133,421) = 55993
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FAQs on GCF of Fractions of 3221/133, 5318/421
1. What is the HCF of 3221,5318?
The HCF of 3221,5318 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 3221/133, 5318/421?
Answer: GCF of Numerators as per given numbers 3221/133, 5318/421 is
GCF of Numerators i.e. for 3221,5318 is 1
LCM of denominators i.e. for 133,421 is 55993.
Thus, GCF of Fractions is 1/55993.Finally, GCF of Fractions for 3221/133, 5318/421 is 1/55993.