GCF of 2437/626, 3879/7279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2437/626, 3879/7279 i.e 1/4556654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2437/626, 3879/7279.
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 2437/626,3879/7279?
Given fractions are 2437/626,3879/7279
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 2437/626,3879/7279, numerators are 2437,3879
Denominators are 626,7279
The GCF of 2437,3879 is 1 .
LCM of 626,7279 is 4556654.
The greatest common factor of 2437/626,3879/7279 = [GCF of 2437,3879]/[LCM of 626,7279]= 1/4556654
Therefore, the GCF of 2437/626,3879/7279 is 1/4556654.
To find the highest common factor of 2437,3879, we have to find the factors of both numbers and list the highest common factor.
The factors of 2437 are 1, 2437
The factors of 3879 are 1, 3, 9, 431, 1293, 3879
The HCF of 2437,3879 is 1.
Lets's calculate GCF of 2437,3879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2437,3879 By Matching Biggest Common Factor Method
Now, list down the factors of 2437
:1,2437
Now, list down the factors of 3879
:1,3,9,431,1293,3879
Greatest Common Factor
We found the factors 2437,3879 . The biggest common factor number is the GCF number.
So the greatest common factor 2437,3879 is 1.
Lets's calculate LCM of 626,7279
Given numbers has no common factors except 1. So, there LCM is their product i.e 4556654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4556654
Therefore, the GCF of Fractions 2437/626,3879/7279 is 1/4556654
Least Common Multiple of 626,7279 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 626,7279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,7279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,7279) x common factors =1 x 1 = 1
LCM(626,7279) = ( 626 × 7279 ) / 1
LCM(626,7279) = 4556654 / 1
LCM(626,7279) = 4556654
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FAQs on GCF of Fractions of 2437/626, 3879/7279
1. What is the HCF of 2437,3879?
The HCF of 2437,3879 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 2437/626, 3879/7279?
Answer: GCF of Numerators as per given numbers 2437/626, 3879/7279 is
GCF of Numerators i.e. for 2437,3879 is 1
LCM of denominators i.e. for 626,7279 is 4556654.
Thus, GCF of Fractions is 1/4556654.Finally, GCF of Fractions for 2437/626, 3879/7279 is 1/4556654.