GCF of 6989/124, 5060/2365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6989/124, 5060/2365 i.e 1/293260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6989/124, 5060/2365.
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 6989/124,5060/2365?
Given fractions are 6989/124,5060/2365
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 6989/124,5060/2365, numerators are 6989,5060
Denominators are 124,2365
The GCF of 6989,5060 is 1 .
LCM of 124,2365 is 293260.
The greatest common factor of 6989/124,5060/2365 = [GCF of 6989,5060]/[LCM of 124,2365]= 1/293260
Therefore, the GCF of 6989/124,5060/2365 is 1/293260.
To find the highest common factor of 6989,5060, we have to find the factors of both numbers and list the highest common factor.
The factors of 6989 are 1, 29, 241, 6989
The factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
The HCF of 6989,5060 is 1.
Lets's calculate GCF of 6989,5060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6989,5060 By Matching Biggest Common Factor Method
Now, list down the factors of 6989
:1,29,241,6989
Now, list down the factors of 5060
:1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Greatest Common Factor
We found the factors 6989,5060 . The biggest common factor number is the GCF number.
So the greatest common factor 6989,5060 is 1.
Lets's calculate LCM of 124,2365
Given numbers has no common factors except 1. So, there LCM is their product i.e 293260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293260
Therefore, the GCF of Fractions 6989/124,5060/2365 is 1/293260
Least Common Multiple of 124,2365 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 124,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,2365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,2365) x common factors =1 x 1 = 1
LCM(124,2365) = ( 124 × 2365 ) / 1
LCM(124,2365) = 293260 / 1
LCM(124,2365) = 293260
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FAQs on GCF of Fractions of 6989/124, 5060/2365
1. What is the HCF of 6989,5060?
The HCF of 6989,5060 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 6989/124, 5060/2365?
Answer: GCF of Numerators as per given numbers 6989/124, 5060/2365 is
GCF of Numerators i.e. for 6989,5060 is 1
LCM of denominators i.e. for 124,2365 is 293260.
Thus, GCF of Fractions is 1/293260.Finally, GCF of Fractions for 6989/124, 5060/2365 is 1/293260.