GCF of 5791/409, 6280/8780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5791/409, 6280/8780 i.e 1/3591020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5791/409, 6280/8780.
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 5791/409,6280/8780?
Given fractions are 5791/409,6280/8780
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 5791/409,6280/8780, numerators are 5791,6280
Denominators are 409,8780
The GCF of 5791,6280 is 1 .
LCM of 409,8780 is 3591020.
The greatest common factor of 5791/409,6280/8780 = [GCF of 5791,6280]/[LCM of 409,8780]= 1/3591020
Therefore, the GCF of 5791/409,6280/8780 is 1/3591020.
To find the highest common factor of 5791,6280, we have to find the factors of both numbers and list the highest common factor.
The factors of 5791 are 1, 5791
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The HCF of 5791,6280 is 1.
Lets's calculate GCF of 5791,6280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5791,6280 By Matching Biggest Common Factor Method
Now, list down the factors of 5791
:1,5791
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Greatest Common Factor
We found the factors 5791,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 5791,6280 is 1.
Lets's calculate LCM of 409,8780
Given numbers has no common factors except 1. So, there LCM is their product i.e 3591020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3591020
Therefore, the GCF of Fractions 5791/409,6280/8780 is 1/3591020
Least Common Multiple of 409,8780 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 409,8780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8780) x common factors =1 x 1 = 1
LCM(409,8780) = ( 409 × 8780 ) / 1
LCM(409,8780) = 3591020 / 1
LCM(409,8780) = 3591020
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FAQs on GCF of Fractions of 5791/409, 6280/8780
1. What is the HCF of 5791,6280?
The HCF of 5791,6280 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 5791/409, 6280/8780?
Answer: GCF of Numerators as per given numbers 5791/409, 6280/8780 is
GCF of Numerators i.e. for 5791,6280 is 1
LCM of denominators i.e. for 409,8780 is 3591020.
Thus, GCF of Fractions is 1/3591020.Finally, GCF of Fractions for 5791/409, 6280/8780 is 1/3591020.