GCF of 4854/974, 5905/6064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4854/974, 5905/6064 i.e 1/2953168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4854/974, 5905/6064.
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 4854/974,5905/6064?
Given fractions are 4854/974,5905/6064
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 4854/974,5905/6064, numerators are 4854,5905
Denominators are 974,6064
The GCF of 4854,5905 is 1 .
LCM of 974,6064 is 2953168.
The greatest common factor of 4854/974,5905/6064 = [GCF of 4854,5905]/[LCM of 974,6064]= 1/2953168
Therefore, the GCF of 4854/974,5905/6064 is 1/2953168.
To find the highest common factor of 4854,5905, we have to find the factors of both numbers and list the highest common factor.
The factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854
The factors of 5905 are 1, 5, 1181, 5905
The HCF of 4854,5905 is 1.
Lets's calculate GCF of 4854,5905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4854,5905 By Matching Biggest Common Factor Method
Now, list down the factors of 4854
:1,2,3,6,809,1618,2427,4854
Now, list down the factors of 5905
:1,5,1181,5905
Greatest Common Factor
We found the factors 4854,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 4854,5905 is 1.
Lets's calculate LCM of 974,6064
| 2 | 974, 6064 |
| 487, 3032 |
∴ So the LCM of the given numbers is 2 x 487 x 3032 = 2953168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2953168
Therefore, the GCF of Fractions 4854/974,5905/6064 is 1/2953168
Least Common Multiple of 974,6064 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 974,6064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,6064) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,6064) x common factors =2 x 1 = 2
LCM(974,6064) = ( 974 × 6064 ) / 2
LCM(974,6064) = 5906336 / 2
LCM(974,6064) = 2953168
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4854/974, 5905/6064
1. What is the HCF of 4854,5905?
The HCF of 4854,5905 is 1
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 4854/974, 5905/6064?
Answer: GCF of Numerators as per given numbers 4854/974, 5905/6064 is
GCF of Numerators i.e. for 4854,5905 is 1
LCM of denominators i.e. for 974,6064 is 2953168.
Thus, GCF of Fractions is 1/2953168.Finally, GCF of Fractions for 4854/974, 5905/6064 is 1/2953168.