GCF of 2098/904, 4520/4616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2098/904, 4520/4616 i.e 2/521608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2098/904, 4520/4616.
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 2098/904,4520/4616?
Given fractions are 2098/904,4520/4616
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 2098/904,4520/4616, numerators are 2098,4520
Denominators are 904,4616
The GCF of 2098,4520 is 2 .
LCM of 904,4616 is 521608.
The greatest common factor of 2098/904,4520/4616 = [GCF of 2098,4520]/[LCM of 904,4616]= 2/521608
Therefore, the GCF of 2098/904,4520/4616 is 2/521608.
To find the highest common factor of 2098,4520, we have to find the factors of both numbers and list the highest common factor.
The factors of 2098 are 1, 2, 1049, 2098
The factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The HCF of 2098,4520 is 2.
Lets's calculate GCF of 2098,4520
| 2 | 2098, 4520 |
| 1049, 2260 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2098,4520 By Matching Biggest Common Factor Method
Now, list down the factors of 2098
:1,2,1049,2098
Now, list down the factors of 4520
:1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Greatest Common Factor
We found the factors 2098,4520 . The biggest common factor number is the GCF number.
So the greatest common factor 2098,4520 is 2.
Lets's calculate LCM of 904,4616
| 2 | 904, 4616 |
| 2 | 452, 2308 |
| 2 | 226, 1154 |
| 113, 577 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 577 = 521608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/521608
Therefore, the GCF of Fractions 2098/904,4520/4616 is 2/521608
Least Common Multiple of 904,4616 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 904,4616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,4616) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(904,4616) x common factors =8 x 1 = 8
LCM(904,4616) = ( 904 × 4616 ) / 8
LCM(904,4616) = 4172864 / 8
LCM(904,4616) = 521608
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2098/904, 4520/4616
1. What is the HCF of 2098,4520?
The HCF of 2098,4520 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 2098/904, 4520/4616?
Answer: GCF of Numerators as per given numbers 2098/904, 4520/4616 is
GCF of Numerators i.e. for 2098,4520 is 2
LCM of denominators i.e. for 904,4616 is 521608.
Thus, GCF of Fractions is 2/521608.Finally, GCF of Fractions for 2098/904, 4520/4616 is 2/521608.