GCF of 5349/412, 4151/2008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5349/412, 4151/2008 i.e 1/206824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5349/412, 4151/2008.
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 5349/412,4151/2008?
Given fractions are 5349/412,4151/2008
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 5349/412,4151/2008, numerators are 5349,4151
Denominators are 412,2008
The GCF of 5349,4151 is 1 .
LCM of 412,2008 is 206824.
The greatest common factor of 5349/412,4151/2008 = [GCF of 5349,4151]/[LCM of 412,2008]= 1/206824
Therefore, the GCF of 5349/412,4151/2008 is 1/206824.
To find the highest common factor of 5349,4151, we have to find the factors of both numbers and list the highest common factor.
The factors of 5349 are 1, 3, 1783, 5349
The factors of 4151 are 1, 7, 593, 4151
The HCF of 5349,4151 is 1.
Lets's calculate GCF of 5349,4151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5349,4151 By Matching Biggest Common Factor Method
Now, list down the factors of 5349
:1,3,1783,5349
Now, list down the factors of 4151
:1,7,593,4151
Greatest Common Factor
We found the factors 5349,4151 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,4151 is 1.
Lets's calculate LCM of 412,2008
| 2 | 412, 2008 |
| 2 | 206, 1004 |
| 103, 502 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 502 = 206824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206824
Therefore, the GCF of Fractions 5349/412,4151/2008 is 1/206824
Least Common Multiple of 412,2008 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 412,2008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,2008) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,2008) x common factors =4 x 1 = 4
LCM(412,2008) = ( 412 × 2008 ) / 4
LCM(412,2008) = 827296 / 4
LCM(412,2008) = 206824
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FAQs on GCF of Fractions of 5349/412, 4151/2008
1. What is the HCF of 5349,4151?
The HCF of 5349,4151 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 5349/412, 4151/2008?
Answer: GCF of Numerators as per given numbers 5349/412, 4151/2008 is
GCF of Numerators i.e. for 5349,4151 is 1
LCM of denominators i.e. for 412,2008 is 206824.
Thus, GCF of Fractions is 1/206824.Finally, GCF of Fractions for 5349/412, 4151/2008 is 1/206824.