GCF of 3296/322, 4138/1221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3296/322, 4138/1221 i.e 2/393162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3296/322, 4138/1221.
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 3296/322,4138/1221?
Given fractions are 3296/322,4138/1221
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 3296/322,4138/1221, numerators are 3296,4138
Denominators are 322,1221
The GCF of 3296,4138 is 2 .
LCM of 322,1221 is 393162.
The greatest common factor of 3296/322,4138/1221 = [GCF of 3296,4138]/[LCM of 322,1221]= 2/393162
Therefore, the GCF of 3296/322,4138/1221 is 2/393162.
To find the highest common factor of 3296,4138, we have to find the factors of both numbers and list the highest common factor.
The factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296
The factors of 4138 are 1, 2, 2069, 4138
The HCF of 3296,4138 is 2.
Lets's calculate GCF of 3296,4138
| 2 | 3296, 4138 |
| 1648, 2069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3296,4138 By Matching Biggest Common Factor Method
Now, list down the factors of 3296
:1,2,4,8,16,32,103,206,412,824,1648,3296
Now, list down the factors of 4138
:1,2,2069,4138
Greatest Common Factor
We found the factors 3296,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 3296,4138 is 2.
Lets's calculate LCM of 322,1221
Given numbers has no common factors except 1. So, there LCM is their product i.e 393162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/393162
Therefore, the GCF of Fractions 3296/322,4138/1221 is 2/393162
Least Common Multiple of 322,1221 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 322,1221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,1221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,1221) x common factors =1 x 1 = 1
LCM(322,1221) = ( 322 × 1221 ) / 1
LCM(322,1221) = 393162 / 1
LCM(322,1221) = 393162
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FAQs on GCF of Fractions of 3296/322, 4138/1221
1. What is the HCF of 3296,4138?
The HCF of 3296,4138 is 2
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 3296/322, 4138/1221?
Answer: GCF of Numerators as per given numbers 3296/322, 4138/1221 is
GCF of Numerators i.e. for 3296,4138 is 2
LCM of denominators i.e. for 322,1221 is 393162.
Thus, GCF of Fractions is 2/393162.Finally, GCF of Fractions for 3296/322, 4138/1221 is 2/393162.