GCF of 6339/456, 4601/4214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6339/456, 4601/4214 i.e 1/960792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6339/456, 4601/4214.
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 6339/456,4601/4214?
Given fractions are 6339/456,4601/4214
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 6339/456,4601/4214, numerators are 6339,4601
Denominators are 456,4214
The GCF of 6339,4601 is 1 .
LCM of 456,4214 is 960792.
The greatest common factor of 6339/456,4601/4214 = [GCF of 6339,4601]/[LCM of 456,4214]= 1/960792
Therefore, the GCF of 6339/456,4601/4214 is 1/960792.
To find the highest common factor of 6339,4601, we have to find the factors of both numbers and list the highest common factor.
The factors of 6339 are 1, 3, 2113, 6339
The factors of 4601 are 1, 43, 107, 4601
The HCF of 6339,4601 is 1.
Lets's calculate GCF of 6339,4601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6339,4601 By Matching Biggest Common Factor Method
Now, list down the factors of 6339
:1,3,2113,6339
Now, list down the factors of 4601
:1,43,107,4601
Greatest Common Factor
We found the factors 6339,4601 . The biggest common factor number is the GCF number.
So the greatest common factor 6339,4601 is 1.
Lets's calculate LCM of 456,4214
| 2 | 456, 4214 |
| 228, 2107 |
∴ So the LCM of the given numbers is 2 x 228 x 2107 = 960792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960792
Therefore, the GCF of Fractions 6339/456,4601/4214 is 1/960792
Least Common Multiple of 456,4214 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 456,4214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,4214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(456,4214) x common factors =2 x 1 = 2
LCM(456,4214) = ( 456 × 4214 ) / 2
LCM(456,4214) = 1921584 / 2
LCM(456,4214) = 960792
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FAQs on GCF of Fractions of 6339/456, 4601/4214
1. What is the HCF of 6339,4601?
The HCF of 6339,4601 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 6339/456, 4601/4214?
Answer: GCF of Numerators as per given numbers 6339/456, 4601/4214 is
GCF of Numerators i.e. for 6339,4601 is 1
LCM of denominators i.e. for 456,4214 is 960792.
Thus, GCF of Fractions is 1/960792.Finally, GCF of Fractions for 6339/456, 4601/4214 is 1/960792.