GCF of 7424/579, 1666/6051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7424/579, 1666/6051 i.e 2/1167843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/579, 1666/6051.
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 7424/579,1666/6051?
Given fractions are 7424/579,1666/6051
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 7424/579,1666/6051, numerators are 7424,1666
Denominators are 579,6051
The GCF of 7424,1666 is 2 .
LCM of 579,6051 is 1167843.
The greatest common factor of 7424/579,1666/6051 = [GCF of 7424,1666]/[LCM of 579,6051]= 2/1167843
Therefore, the GCF of 7424/579,1666/6051 is 2/1167843.
To find the highest common factor of 7424,1666, we have to find the factors of both numbers and list the highest common factor.
The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424
The factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666
The HCF of 7424,1666 is 2.
Lets's calculate GCF of 7424,1666
| 2 | 7424, 1666 |
| 3712, 833 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7424,1666 By Matching Biggest Common Factor Method
Now, list down the factors of 7424
:1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424
Now, list down the factors of 1666
:1,2,7,14,17,34,49,98,119,238,833,1666
Greatest Common Factor
We found the factors 7424,1666 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,1666 is 2.
Lets's calculate LCM of 579,6051
| 3 | 579, 6051 |
| 193, 2017 |
∴ So the LCM of the given numbers is 3 x 193 x 2017 = 1167843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1167843
Therefore, the GCF of Fractions 7424/579,1666/6051 is 2/1167843
Least Common Multiple of 579,6051 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 579,6051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,6051) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,6051) x common factors =3 x 1 = 3
LCM(579,6051) = ( 579 × 6051 ) / 3
LCM(579,6051) = 3503529 / 3
LCM(579,6051) = 1167843
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FAQs on GCF of Fractions of 7424/579, 1666/6051
1. What is the HCF of 7424,1666?
The HCF of 7424,1666 is 2
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 7424/579, 1666/6051?
Answer: GCF of Numerators as per given numbers 7424/579, 1666/6051 is
GCF of Numerators i.e. for 7424,1666 is 2
LCM of denominators i.e. for 579,6051 is 1167843.
Thus, GCF of Fractions is 2/1167843.Finally, GCF of Fractions for 7424/579, 1666/6051 is 2/1167843.