GCF of 449/213, 6735/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/213, 6735/712 i.e 449/151656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/213, 6735/712.
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 449/213,6735/712?
Given fractions are 449/213,6735/712
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 449/213,6735/712, numerators are 449,6735
Denominators are 213,712
The GCF of 449,6735 is 449 .
LCM of 213,712 is 151656.
The greatest common factor of 449/213,6735/712 = [GCF of 449,6735]/[LCM of 213,712]= 449/151656
Therefore, the GCF of 449/213,6735/712 is 449/151656.
To find the highest common factor of 449,6735, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735
The HCF of 449,6735 is 449.
Lets's calculate GCF of 449,6735
| 449 | 449, 6735 |
| 1, 15 |
∴ So the GCF of the given numbers is 449 = 449
Greatest Common Factor of 449,6735 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 6735
:1,3,5,15,449,1347,2245,6735
Greatest Common Factor
We found the factors 449,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 449,6735 is 449.
Lets's calculate LCM of 213,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 151656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 449/151656
Therefore, the GCF of Fractions 449/213,6735/712 is 449/151656
Least Common Multiple of 213,712 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 213,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,712) x common factors =1 x 1 = 1
LCM(213,712) = ( 213 × 712 ) / 1
LCM(213,712) = 151656 / 1
LCM(213,712) = 151656
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FAQs on GCF of Fractions of 449/213, 6735/712
1. What is the HCF of 449,6735?
The HCF of 449,6735 is 449
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 449/213, 6735/712?
Answer: GCF of Numerators as per given numbers 449/213, 6735/712 is
GCF of Numerators i.e. for 449,6735 is 449
LCM of denominators i.e. for 213,712 is 151656.
Thus, GCF of Fractions is 449/151656.Finally, GCF of Fractions for 449/213, 6735/712 is 449/151656.