GCF of 4216/979, 2109/5893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4216/979, 2109/5893 i.e 1/5769247 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4216/979, 2109/5893.
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 4216/979,2109/5893?
Given fractions are 4216/979,2109/5893
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 4216/979,2109/5893, numerators are 4216,2109
Denominators are 979,5893
The GCF of 4216,2109 is 1 .
LCM of 979,5893 is 5769247.
The greatest common factor of 4216/979,2109/5893 = [GCF of 4216,2109]/[LCM of 979,5893]= 1/5769247
Therefore, the GCF of 4216/979,2109/5893 is 1/5769247.
To find the highest common factor of 4216,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 4216,2109 is 1.
Lets's calculate GCF of 4216,2109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4216,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 4216,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 4216,2109 is 1.
Lets's calculate LCM of 979,5893
Given numbers has no common factors except 1. So, there LCM is their product i.e 5769247
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5769247
Therefore, the GCF of Fractions 4216/979,2109/5893 is 1/5769247
Least Common Multiple of 979,5893 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 979,5893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,5893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,5893) x common factors =1 x 1 = 1
LCM(979,5893) = ( 979 × 5893 ) / 1
LCM(979,5893) = 5769247 / 1
LCM(979,5893) = 5769247
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FAQs on GCF of Fractions of 4216/979, 2109/5893
1. What is the HCF of 4216,2109?
The HCF of 4216,2109 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 4216/979, 2109/5893?
Answer: GCF of Numerators as per given numbers 4216/979, 2109/5893 is
GCF of Numerators i.e. for 4216,2109 is 1
LCM of denominators i.e. for 979,5893 is 5769247.
Thus, GCF of Fractions is 1/5769247.Finally, GCF of Fractions for 4216/979, 2109/5893 is 1/5769247.