GCF of 579/423, 8037/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 579/423, 8037/708 i.e 3/99828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/423, 8037/708.
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 579/423,8037/708?
Given fractions are 579/423,8037/708
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 579/423,8037/708, numerators are 579,8037
Denominators are 423,708
The GCF of 579,8037 is 3 .
LCM of 423,708 is 99828.
The greatest common factor of 579/423,8037/708 = [GCF of 579,8037]/[LCM of 423,708]= 3/99828
Therefore, the GCF of 579/423,8037/708 is 3/99828.
To find the highest common factor of 579,8037, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
The HCF of 579,8037 is 3.
Lets's calculate GCF of 579,8037
| 3 | 579, 8037 |
| 193, 2679 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 579,8037 By Matching Biggest Common Factor Method
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 8037
:1,3,9,19,47,57,141,171,423,893,2679,8037
Greatest Common Factor
We found the factors 579,8037 . The biggest common factor number is the GCF number.
So the greatest common factor 579,8037 is 3.
Lets's calculate LCM of 423,708
| 3 | 423, 708 |
| 141, 236 |
∴ So the LCM of the given numbers is 3 x 141 x 236 = 99828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/99828
Therefore, the GCF of Fractions 579/423,8037/708 is 3/99828
Least Common Multiple of 423,708 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 423,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,708) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,708) x common factors =3 x 1 = 3
LCM(423,708) = ( 423 × 708 ) / 3
LCM(423,708) = 299484 / 3
LCM(423,708) = 99828
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FAQs on GCF of Fractions of 579/423, 8037/708
1. What is the HCF of 579,8037?
The HCF of 579,8037 is 3
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 579/423, 8037/708?
Answer: GCF of Numerators as per given numbers 579/423, 8037/708 is
GCF of Numerators i.e. for 579,8037 is 3
LCM of denominators i.e. for 423,708 is 99828.
Thus, GCF of Fractions is 3/99828.Finally, GCF of Fractions for 579/423, 8037/708 is 3/99828.