GCF of 7109/139, 1980/7370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7109/139, 1980/7370 i.e 1/1024430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7109/139, 1980/7370.
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 7109/139,1980/7370?
Given fractions are 7109/139,1980/7370
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 7109/139,1980/7370, numerators are 7109,1980
Denominators are 139,7370
The GCF of 7109,1980 is 1 .
LCM of 139,7370 is 1024430.
The greatest common factor of 7109/139,1980/7370 = [GCF of 7109,1980]/[LCM of 139,7370]= 1/1024430
Therefore, the GCF of 7109/139,1980/7370 is 1/1024430.
To find the highest common factor of 7109,1980, we have to find the factors of both numbers and list the highest common factor.
The factors of 7109 are 1, 7109
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
The HCF of 7109,1980 is 1.
Lets's calculate GCF of 7109,1980
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7109,1980 By Matching Biggest Common Factor Method
Now, list down the factors of 7109
:1,7109
Now, list down the factors of 1980
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Greatest Common Factor
We found the factors 7109,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 7109,1980 is 1.
Lets's calculate LCM of 139,7370
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024430
Therefore, the GCF of Fractions 7109/139,1980/7370 is 1/1024430
Least Common Multiple of 139,7370 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 139,7370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,7370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,7370) x common factors =1 x 1 = 1
LCM(139,7370) = ( 139 × 7370 ) / 1
LCM(139,7370) = 1024430 / 1
LCM(139,7370) = 1024430
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FAQs on GCF of Fractions of 7109/139, 1980/7370
1. What is the HCF of 7109,1980?
The HCF of 7109,1980 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 7109/139, 1980/7370?
Answer: GCF of Numerators as per given numbers 7109/139, 1980/7370 is
GCF of Numerators i.e. for 7109,1980 is 1
LCM of denominators i.e. for 139,7370 is 1024430.
Thus, GCF of Fractions is 1/1024430.Finally, GCF of Fractions for 7109/139, 1980/7370 is 1/1024430.