GCF of 3202/99, 1211/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3202/99, 1211/208 i.e 1/20592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3202/99, 1211/208.
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 3202/99,1211/208?
Given fractions are 3202/99,1211/208
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 3202/99,1211/208, numerators are 3202,1211
Denominators are 99,208
The GCF of 3202,1211 is 1 .
LCM of 99,208 is 20592.
The greatest common factor of 3202/99,1211/208 = [GCF of 3202,1211]/[LCM of 99,208]= 1/20592
Therefore, the GCF of 3202/99,1211/208 is 1/20592.
To find the highest common factor of 3202,1211, we have to find the factors of both numbers and list the highest common factor.
The factors of 3202 are 1, 2, 1601, 3202
The factors of 1211 are 1, 7, 173, 1211
The HCF of 3202,1211 is 1.
Lets's calculate GCF of 3202,1211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3202,1211 By Matching Biggest Common Factor Method
Now, list down the factors of 3202
:1,2,1601,3202
Now, list down the factors of 1211
:1,7,173,1211
Greatest Common Factor
We found the factors 3202,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,1211 is 1.
Lets's calculate LCM of 99,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 20592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20592
Therefore, the GCF of Fractions 3202/99,1211/208 is 1/20592
Least Common Multiple of 99,208 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 99,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,208) x common factors =1 x 1 = 1
LCM(99,208) = ( 99 × 208 ) / 1
LCM(99,208) = 20592 / 1
LCM(99,208) = 20592
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FAQs on GCF of Fractions of 3202/99, 1211/208
1. What is the HCF of 3202,1211?
The HCF of 3202,1211 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 3202/99, 1211/208?
Answer: GCF of Numerators as per given numbers 3202/99, 1211/208 is
GCF of Numerators i.e. for 3202,1211 is 1
LCM of denominators i.e. for 99,208 is 20592.
Thus, GCF of Fractions is 1/20592.Finally, GCF of Fractions for 3202/99, 1211/208 is 1/20592.