GCF of 3634/758, 5974/4891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3634/758, 5974/4891 i.e 2/3707378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3634/758, 5974/4891.
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 3634/758,5974/4891?
Given fractions are 3634/758,5974/4891
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 3634/758,5974/4891, numerators are 3634,5974
Denominators are 758,4891
The GCF of 3634,5974 is 2 .
LCM of 758,4891 is 3707378.
The greatest common factor of 3634/758,5974/4891 = [GCF of 3634,5974]/[LCM of 758,4891]= 2/3707378
Therefore, the GCF of 3634/758,5974/4891 is 2/3707378.
To find the highest common factor of 3634,5974, we have to find the factors of both numbers and list the highest common factor.
The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634
The factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974
The HCF of 3634,5974 is 2.
Lets's calculate GCF of 3634,5974
| 2 | 3634, 5974 |
| 1817, 2987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3634,5974 By Matching Biggest Common Factor Method
Now, list down the factors of 3634
:1,2,23,46,79,158,1817,3634
Now, list down the factors of 5974
:1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors 3634,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 3634,5974 is 2.
Lets's calculate LCM of 758,4891
Given numbers has no common factors except 1. So, there LCM is their product i.e 3707378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3707378
Therefore, the GCF of Fractions 3634/758,5974/4891 is 2/3707378
Least Common Multiple of 758,4891 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 758,4891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,4891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,4891) x common factors =1 x 1 = 1
LCM(758,4891) = ( 758 × 4891 ) / 1
LCM(758,4891) = 3707378 / 1
LCM(758,4891) = 3707378
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FAQs on GCF of Fractions of 3634/758, 5974/4891
1. What is the HCF of 3634,5974?
The HCF of 3634,5974 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 3634/758, 5974/4891?
Answer: GCF of Numerators as per given numbers 3634/758, 5974/4891 is
GCF of Numerators i.e. for 3634,5974 is 2
LCM of denominators i.e. for 758,4891 is 3707378.
Thus, GCF of Fractions is 2/3707378.Finally, GCF of Fractions for 3634/758, 5974/4891 is 2/3707378.