GCF of 1989/729, 6116/3140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1989/729, 6116/3140 i.e 1/2289060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1989/729, 6116/3140.
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 1989/729,6116/3140?
Given fractions are 1989/729,6116/3140
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 1989/729,6116/3140, numerators are 1989,6116
Denominators are 729,3140
The GCF of 1989,6116 is 1 .
LCM of 729,3140 is 2289060.
The greatest common factor of 1989/729,6116/3140 = [GCF of 1989,6116]/[LCM of 729,3140]= 1/2289060
Therefore, the GCF of 1989/729,6116/3140 is 1/2289060.
To find the highest common factor of 1989,6116, we have to find the factors of both numbers and list the highest common factor.
The factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989
The factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116
The HCF of 1989,6116 is 1.
Lets's calculate GCF of 1989,6116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1989,6116 By Matching Biggest Common Factor Method
Now, list down the factors of 1989
:1,3,9,13,17,39,51,117,153,221,663,1989
Now, list down the factors of 6116
:1,2,4,11,22,44,139,278,556,1529,3058,6116
Greatest Common Factor
We found the factors 1989,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 1989,6116 is 1.
Lets's calculate LCM of 729,3140
Given numbers has no common factors except 1. So, there LCM is their product i.e 2289060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2289060
Therefore, the GCF of Fractions 1989/729,6116/3140 is 1/2289060
Least Common Multiple of 729,3140 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 729,3140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,3140) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,3140) x common factors =1 x 1 = 1
LCM(729,3140) = ( 729 × 3140 ) / 1
LCM(729,3140) = 2289060 / 1
LCM(729,3140) = 2289060
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FAQs on GCF of Fractions of 1989/729, 6116/3140
1. What is the HCF of 1989,6116?
The HCF of 1989,6116 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 1989/729, 6116/3140?
Answer: GCF of Numerators as per given numbers 1989/729, 6116/3140 is
GCF of Numerators i.e. for 1989,6116 is 1
LCM of denominators i.e. for 729,3140 is 2289060.
Thus, GCF of Fractions is 1/2289060.Finally, GCF of Fractions for 1989/729, 6116/3140 is 1/2289060.