GCF of 4658/940, 5974/7642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4658/940, 5974/7642 i.e 2/3591740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4658/940, 5974/7642.
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 4658/940,5974/7642?
Given fractions are 4658/940,5974/7642
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 4658/940,5974/7642, numerators are 4658,5974
Denominators are 940,7642
The GCF of 4658,5974 is 2 .
LCM of 940,7642 is 3591740.
The greatest common factor of 4658/940,5974/7642 = [GCF of 4658,5974]/[LCM of 940,7642]= 2/3591740
Therefore, the GCF of 4658/940,5974/7642 is 2/3591740.
To find the highest common factor of 4658,5974, we have to find the factors of both numbers and list the highest common factor.
The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658
The factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974
The HCF of 4658,5974 is 2.
Lets's calculate GCF of 4658,5974
| 2 | 4658, 5974 |
| 2329, 2987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4658,5974 By Matching Biggest Common Factor Method
Now, list down the factors of 4658
:1,2,17,34,137,274,2329,4658
Now, list down the factors of 5974
:1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors 4658,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 4658,5974 is 2.
Lets's calculate LCM of 940,7642
| 2 | 940, 7642 |
| 470, 3821 |
∴ So the LCM of the given numbers is 2 x 470 x 3821 = 3591740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3591740
Therefore, the GCF of Fractions 4658/940,5974/7642 is 2/3591740
Least Common Multiple of 940,7642 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 940,7642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,7642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(940,7642) x common factors =2 x 1 = 2
LCM(940,7642) = ( 940 × 7642 ) / 2
LCM(940,7642) = 7183480 / 2
LCM(940,7642) = 3591740
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FAQs on GCF of Fractions of 4658/940, 5974/7642
1. What is the HCF of 4658,5974?
The HCF of 4658,5974 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 4658/940, 5974/7642?
Answer: GCF of Numerators as per given numbers 4658/940, 5974/7642 is
GCF of Numerators i.e. for 4658,5974 is 2
LCM of denominators i.e. for 940,7642 is 3591740.
Thus, GCF of Fractions is 2/3591740.Finally, GCF of Fractions for 4658/940, 5974/7642 is 2/3591740.