GCF of 3058/219, 5989/1109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3058/219, 5989/1109 i.e 1/242871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3058/219, 5989/1109.
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 3058/219,5989/1109?
Given fractions are 3058/219,5989/1109
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 3058/219,5989/1109, numerators are 3058,5989
Denominators are 219,1109
The GCF of 3058,5989 is 1 .
LCM of 219,1109 is 242871.
The greatest common factor of 3058/219,5989/1109 = [GCF of 3058,5989]/[LCM of 219,1109]= 1/242871
Therefore, the GCF of 3058/219,5989/1109 is 1/242871.
To find the highest common factor of 3058,5989, we have to find the factors of both numbers and list the highest common factor.
The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058
The factors of 5989 are 1, 53, 113, 5989
The HCF of 3058,5989 is 1.
Lets's calculate GCF of 3058,5989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3058,5989 By Matching Biggest Common Factor Method
Now, list down the factors of 3058
:1,2,11,22,139,278,1529,3058
Now, list down the factors of 5989
:1,53,113,5989
Greatest Common Factor
We found the factors 3058,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 3058,5989 is 1.
Lets's calculate LCM of 219,1109
Given numbers has no common factors except 1. So, there LCM is their product i.e 242871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242871
Therefore, the GCF of Fractions 3058/219,5989/1109 is 1/242871
Least Common Multiple of 219,1109 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 219,1109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,1109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,1109) x common factors =1 x 1 = 1
LCM(219,1109) = ( 219 × 1109 ) / 1
LCM(219,1109) = 242871 / 1
LCM(219,1109) = 242871
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FAQs on GCF of Fractions of 3058/219, 5989/1109
1. What is the HCF of 3058,5989?
The HCF of 3058,5989 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 3058/219, 5989/1109?
Answer: GCF of Numerators as per given numbers 3058/219, 5989/1109 is
GCF of Numerators i.e. for 3058,5989 is 1
LCM of denominators i.e. for 219,1109 is 242871.
Thus, GCF of Fractions is 1/242871.Finally, GCF of Fractions for 3058/219, 5989/1109 is 1/242871.