GCF of 4334/602, 3397/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4334/602, 3397/361 i.e 1/217322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/602, 3397/361.
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 4334/602,3397/361?
Given fractions are 4334/602,3397/361
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 4334/602,3397/361, numerators are 4334,3397
Denominators are 602,361
The GCF of 4334,3397 is 1 .
LCM of 602,361 is 217322.
The greatest common factor of 4334/602,3397/361 = [GCF of 4334,3397]/[LCM of 602,361]= 1/217322
Therefore, the GCF of 4334/602,3397/361 is 1/217322.
To find the highest common factor of 4334,3397, we have to find the factors of both numbers and list the highest common factor.
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The factors of 3397 are 1, 43, 79, 3397
The HCF of 4334,3397 is 1.
Lets's calculate GCF of 4334,3397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4334,3397 By Matching Biggest Common Factor Method
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Now, list down the factors of 3397
:1,43,79,3397
Greatest Common Factor
We found the factors 4334,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,3397 is 1.
Lets's calculate LCM of 602,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 217322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217322
Therefore, the GCF of Fractions 4334/602,3397/361 is 1/217322
Least Common Multiple of 602,361 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 602,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,361) x common factors =1 x 1 = 1
LCM(602,361) = ( 602 × 361 ) / 1
LCM(602,361) = 217322 / 1
LCM(602,361) = 217322
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FAQs on GCF of Fractions of 4334/602, 3397/361
1. What is the HCF of 4334,3397?
The HCF of 4334,3397 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 4334/602, 3397/361?
Answer: GCF of Numerators as per given numbers 4334/602, 3397/361 is
GCF of Numerators i.e. for 4334,3397 is 1
LCM of denominators i.e. for 602,361 is 217322.
Thus, GCF of Fractions is 1/217322.Finally, GCF of Fractions for 4334/602, 3397/361 is 1/217322.