GCF of 4676/968, 2004/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4676/968, 2004/817 i.e 668/790856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4676/968, 2004/817.
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 4676/968,2004/817?
Given fractions are 4676/968,2004/817
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 4676/968,2004/817, numerators are 4676,2004
Denominators are 968,817
The GCF of 4676,2004 is 668 .
LCM of 968,817 is 790856.
The greatest common factor of 4676/968,2004/817 = [GCF of 4676,2004]/[LCM of 968,817]= 668/790856
Therefore, the GCF of 4676/968,2004/817 is 668/790856.
To find the highest common factor of 4676,2004, we have to find the factors of both numbers and list the highest common factor.
The factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004
The HCF of 4676,2004 is 668.
Lets's calculate GCF of 4676,2004
| 2 | 4676, 2004 |
| 2 | 2338, 1002 |
| 167 | 1169, 501 |
| 7, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 167 = 668
Greatest Common Factor of 4676,2004 By Matching Biggest Common Factor Method
Now, list down the factors of 4676
:1,2,4,7,14,28,167,334,668,1169,2338,4676
Now, list down the factors of 2004
:1,2,3,4,6,12,167,334,501,668,1002,2004
Greatest Common Factor
We found the factors 4676,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 4676,2004 is 668.
Lets's calculate LCM of 968,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 790856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 668/790856
Therefore, the GCF of Fractions 4676/968,2004/817 is 668/790856
Least Common Multiple of 968,817 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 968,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,817) x common factors =1 x 1 = 1
LCM(968,817) = ( 968 × 817 ) / 1
LCM(968,817) = 790856 / 1
LCM(968,817) = 790856
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4676/968, 2004/817
1. What is the HCF of 4676,2004?
The HCF of 4676,2004 is 668
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 4676/968, 2004/817?
Answer: GCF of Numerators as per given numbers 4676/968, 2004/817 is
GCF of Numerators i.e. for 4676,2004 is 668
LCM of denominators i.e. for 968,817 is 790856.
Thus, GCF of Fractions is 668/790856.Finally, GCF of Fractions for 4676/968, 2004/817 is 668/790856.