GCF of 5260/919, 3704/1996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5260/919, 3704/1996 i.e 4/1834324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5260/919, 3704/1996.
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 5260/919,3704/1996?
Given fractions are 5260/919,3704/1996
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 5260/919,3704/1996, numerators are 5260,3704
Denominators are 919,1996
The GCF of 5260,3704 is 4 .
LCM of 919,1996 is 1834324.
The greatest common factor of 5260/919,3704/1996 = [GCF of 5260,3704]/[LCM of 919,1996]= 4/1834324
Therefore, the GCF of 5260/919,3704/1996 is 4/1834324.
To find the highest common factor of 5260,3704, we have to find the factors of both numbers and list the highest common factor.
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704
The HCF of 5260,3704 is 4.
Lets's calculate GCF of 5260,3704
| 2 | 5260, 3704 |
| 2 | 2630, 1852 |
| 1315, 926 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5260,3704 By Matching Biggest Common Factor Method
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Now, list down the factors of 3704
:1,2,4,8,463,926,1852,3704
Greatest Common Factor
We found the factors 5260,3704 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,3704 is 4.
Lets's calculate LCM of 919,1996
Given numbers has no common factors except 1. So, there LCM is their product i.e 1834324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1834324
Therefore, the GCF of Fractions 5260/919,3704/1996 is 4/1834324
Least Common Multiple of 919,1996 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 919,1996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,1996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,1996) x common factors =1 x 1 = 1
LCM(919,1996) = ( 919 × 1996 ) / 1
LCM(919,1996) = 1834324 / 1
LCM(919,1996) = 1834324
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FAQs on GCF of Fractions of 5260/919, 3704/1996
1. What is the HCF of 5260,3704?
The HCF of 5260,3704 is 4
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 5260/919, 3704/1996?
Answer: GCF of Numerators as per given numbers 5260/919, 3704/1996 is
GCF of Numerators i.e. for 5260,3704 is 4
LCM of denominators i.e. for 919,1996 is 1834324.
Thus, GCF of Fractions is 4/1834324.Finally, GCF of Fractions for 5260/919, 3704/1996 is 4/1834324.