GCF of 2079/949, 3130/1966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2079/949, 3130/1966 i.e 1/1865734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2079/949, 3130/1966.
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 2079/949,3130/1966?
Given fractions are 2079/949,3130/1966
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 2079/949,3130/1966, numerators are 2079,3130
Denominators are 949,1966
The GCF of 2079,3130 is 1 .
LCM of 949,1966 is 1865734.
The greatest common factor of 2079/949,3130/1966 = [GCF of 2079,3130]/[LCM of 949,1966]= 1/1865734
Therefore, the GCF of 2079/949,3130/1966 is 1/1865734.
To find the highest common factor of 2079,3130, we have to find the factors of both numbers and list the highest common factor.
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130
The HCF of 2079,3130 is 1.
Lets's calculate GCF of 2079,3130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2079,3130 By Matching Biggest Common Factor Method
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Now, list down the factors of 3130
:1,2,5,10,313,626,1565,3130
Greatest Common Factor
We found the factors 2079,3130 . The biggest common factor number is the GCF number.
So the greatest common factor 2079,3130 is 1.
Lets's calculate LCM of 949,1966
Given numbers has no common factors except 1. So, there LCM is their product i.e 1865734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1865734
Therefore, the GCF of Fractions 2079/949,3130/1966 is 1/1865734
Least Common Multiple of 949,1966 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 949,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,1966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,1966) x common factors =1 x 1 = 1
LCM(949,1966) = ( 949 × 1966 ) / 1
LCM(949,1966) = 1865734 / 1
LCM(949,1966) = 1865734
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FAQs on GCF of Fractions of 2079/949, 3130/1966
1. What is the HCF of 2079,3130?
The HCF of 2079,3130 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 2079/949, 3130/1966?
Answer: GCF of Numerators as per given numbers 2079/949, 3130/1966 is
GCF of Numerators i.e. for 2079,3130 is 1
LCM of denominators i.e. for 949,1966 is 1865734.
Thus, GCF of Fractions is 1/1865734.Finally, GCF of Fractions for 2079/949, 3130/1966 is 1/1865734.