GCF of 7900/128, 5974/5694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7900/128, 5974/5694 i.e 2/364416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7900/128, 5974/5694.
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 7900/128,5974/5694?
Given fractions are 7900/128,5974/5694
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 7900/128,5974/5694, numerators are 7900,5974
Denominators are 128,5694
The GCF of 7900,5974 is 2 .
LCM of 128,5694 is 364416.
The greatest common factor of 7900/128,5974/5694 = [GCF of 7900,5974]/[LCM of 128,5694]= 2/364416
Therefore, the GCF of 7900/128,5974/5694 is 2/364416.
To find the highest common factor of 7900,5974, we have to find the factors of both numbers and list the highest common factor.
The factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900
The factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974
The HCF of 7900,5974 is 2.
Lets's calculate GCF of 7900,5974
| 2 | 7900, 5974 |
| 3950, 2987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7900,5974 By Matching Biggest Common Factor Method
Now, list down the factors of 7900
:1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900
Now, list down the factors of 5974
:1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors 7900,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 7900,5974 is 2.
Lets's calculate LCM of 128,5694
| 2 | 128, 5694 |
| 64, 2847 |
∴ So the LCM of the given numbers is 2 x 64 x 2847 = 364416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/364416
Therefore, the GCF of Fractions 7900/128,5974/5694 is 2/364416
Least Common Multiple of 128,5694 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 128,5694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,5694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,5694) x common factors =2 x 1 = 2
LCM(128,5694) = ( 128 × 5694 ) / 2
LCM(128,5694) = 728832 / 2
LCM(128,5694) = 364416
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FAQs on GCF of Fractions of 7900/128, 5974/5694
1. What is the HCF of 7900,5974?
The HCF of 7900,5974 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 7900/128, 5974/5694?
Answer: GCF of Numerators as per given numbers 7900/128, 5974/5694 is
GCF of Numerators i.e. for 7900,5974 is 2
LCM of denominators i.e. for 128,5694 is 364416.
Thus, GCF of Fractions is 2/364416.Finally, GCF of Fractions for 7900/128, 5974/5694 is 2/364416.