GCF of 5849/319, 2214/1680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5849/319, 2214/1680 i.e 1/535920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5849/319, 2214/1680.
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 5849/319,2214/1680?
Given fractions are 5849/319,2214/1680
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 5849/319,2214/1680, numerators are 5849,2214
Denominators are 319,1680
The GCF of 5849,2214 is 1 .
LCM of 319,1680 is 535920.
The greatest common factor of 5849/319,2214/1680 = [GCF of 5849,2214]/[LCM of 319,1680]= 1/535920
Therefore, the GCF of 5849/319,2214/1680 is 1/535920.
To find the highest common factor of 5849,2214, we have to find the factors of both numbers and list the highest common factor.
The factors of 5849 are 1, 5849
The factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214
The HCF of 5849,2214 is 1.
Lets's calculate GCF of 5849,2214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5849,2214 By Matching Biggest Common Factor Method
Now, list down the factors of 5849
:1,5849
Now, list down the factors of 2214
:1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Greatest Common Factor
We found the factors 5849,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 5849,2214 is 1.
Lets's calculate LCM of 319,1680
Given numbers has no common factors except 1. So, there LCM is their product i.e 535920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535920
Therefore, the GCF of Fractions 5849/319,2214/1680 is 1/535920
Least Common Multiple of 319,1680 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 319,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,1680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,1680) x common factors =1 x 1 = 1
LCM(319,1680) = ( 319 × 1680 ) / 1
LCM(319,1680) = 535920 / 1
LCM(319,1680) = 535920
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FAQs on GCF of Fractions of 5849/319, 2214/1680
1. What is the HCF of 5849,2214?
The HCF of 5849,2214 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 5849/319, 2214/1680?
Answer: GCF of Numerators as per given numbers 5849/319, 2214/1680 is
GCF of Numerators i.e. for 5849,2214 is 1
LCM of denominators i.e. for 319,1680 is 535920.
Thus, GCF of Fractions is 1/535920.Finally, GCF of Fractions for 5849/319, 2214/1680 is 1/535920.