GCF of 4580/821, 2628/8493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4580/821, 2628/8493 i.e 4/6972753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4580/821, 2628/8493.
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 4580/821,2628/8493?
Given fractions are 4580/821,2628/8493
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 4580/821,2628/8493, numerators are 4580,2628
Denominators are 821,8493
The GCF of 4580,2628 is 4 .
LCM of 821,8493 is 6972753.
The greatest common factor of 4580/821,2628/8493 = [GCF of 4580,2628]/[LCM of 821,8493]= 4/6972753
Therefore, the GCF of 4580/821,2628/8493 is 4/6972753.
To find the highest common factor of 4580,2628, we have to find the factors of both numbers and list the highest common factor.
The factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580
The factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628
The HCF of 4580,2628 is 4.
Lets's calculate GCF of 4580,2628
| 2 | 4580, 2628 |
| 2 | 2290, 1314 |
| 1145, 657 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4580,2628 By Matching Biggest Common Factor Method
Now, list down the factors of 4580
:1,2,4,5,10,20,229,458,916,1145,2290,4580
Now, list down the factors of 2628
:1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628
Greatest Common Factor
We found the factors 4580,2628 . The biggest common factor number is the GCF number.
So the greatest common factor 4580,2628 is 4.
Lets's calculate LCM of 821,8493
Given numbers has no common factors except 1. So, there LCM is their product i.e 6972753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6972753
Therefore, the GCF of Fractions 4580/821,2628/8493 is 4/6972753
Least Common Multiple of 821,8493 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 821,8493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8493) x common factors =1 x 1 = 1
LCM(821,8493) = ( 821 × 8493 ) / 1
LCM(821,8493) = 6972753 / 1
LCM(821,8493) = 6972753
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4580/821, 2628/8493
1. What is the HCF of 4580,2628?
The HCF of 4580,2628 is 4
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 4580/821, 2628/8493?
Answer: GCF of Numerators as per given numbers 4580/821, 2628/8493 is
GCF of Numerators i.e. for 4580,2628 is 4
LCM of denominators i.e. for 821,8493 is 6972753.
Thus, GCF of Fractions is 4/6972753.Finally, GCF of Fractions for 4580/821, 2628/8493 is 4/6972753.