GCF of 2708/537, 6413/4622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2708/537, 6413/4622 i.e 1/2482014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2708/537, 6413/4622.
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 2708/537,6413/4622?
Given fractions are 2708/537,6413/4622
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 2708/537,6413/4622, numerators are 2708,6413
Denominators are 537,4622
The GCF of 2708,6413 is 1 .
LCM of 537,4622 is 2482014.
The greatest common factor of 2708/537,6413/4622 = [GCF of 2708,6413]/[LCM of 537,4622]= 1/2482014
Therefore, the GCF of 2708/537,6413/4622 is 1/2482014.
To find the highest common factor of 2708,6413, we have to find the factors of both numbers and list the highest common factor.
The factors of 2708 are 1, 2, 4, 677, 1354, 2708
The factors of 6413 are 1, 11, 53, 121, 583, 6413
The HCF of 2708,6413 is 1.
Lets's calculate GCF of 2708,6413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2708,6413 By Matching Biggest Common Factor Method
Now, list down the factors of 2708
:1,2,4,677,1354,2708
Now, list down the factors of 6413
:1,11,53,121,583,6413
Greatest Common Factor
We found the factors 2708,6413 . The biggest common factor number is the GCF number.
So the greatest common factor 2708,6413 is 1.
Lets's calculate LCM of 537,4622
Given numbers has no common factors except 1. So, there LCM is their product i.e 2482014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2482014
Therefore, the GCF of Fractions 2708/537,6413/4622 is 1/2482014
Least Common Multiple of 537,4622 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 537,4622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,4622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,4622) x common factors =1 x 1 = 1
LCM(537,4622) = ( 537 × 4622 ) / 1
LCM(537,4622) = 2482014 / 1
LCM(537,4622) = 2482014
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FAQs on GCF of Fractions of 2708/537, 6413/4622
1. What is the HCF of 2708,6413?
The HCF of 2708,6413 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 2708/537, 6413/4622?
Answer: GCF of Numerators as per given numbers 2708/537, 6413/4622 is
GCF of Numerators i.e. for 2708,6413 is 1
LCM of denominators i.e. for 537,4622 is 2482014.
Thus, GCF of Fractions is 1/2482014.Finally, GCF of Fractions for 2708/537, 6413/4622 is 1/2482014.