GCF of 5521/298, 9080/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5521/298, 9080/172 i.e 1/25628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5521/298, 9080/172.
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 5521/298,9080/172?
Given fractions are 5521/298,9080/172
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 5521/298,9080/172, numerators are 5521,9080
Denominators are 298,172
The GCF of 5521,9080 is 1 .
LCM of 298,172 is 25628.
The greatest common factor of 5521/298,9080/172 = [GCF of 5521,9080]/[LCM of 298,172]= 1/25628
Therefore, the GCF of 5521/298,9080/172 is 1/25628.
To find the highest common factor of 5521,9080, we have to find the factors of both numbers and list the highest common factor.
The factors of 5521 are 1, 5521
The factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080
The HCF of 5521,9080 is 1.
Lets's calculate GCF of 5521,9080
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5521,9080 By Matching Biggest Common Factor Method
Now, list down the factors of 5521
:1,5521
Now, list down the factors of 9080
:1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Greatest Common Factor
We found the factors 5521,9080 . The biggest common factor number is the GCF number.
So the greatest common factor 5521,9080 is 1.
Lets's calculate LCM of 298,172
| 2 | 298, 172 |
| 149, 86 |
∴ So the LCM of the given numbers is 2 x 149 x 86 = 25628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25628
Therefore, the GCF of Fractions 5521/298,9080/172 is 1/25628
Least Common Multiple of 298,172 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 298,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,172) x common factors =2 x 1 = 2
LCM(298,172) = ( 298 × 172 ) / 2
LCM(298,172) = 51256 / 2
LCM(298,172) = 25628
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5521/298, 9080/172
1. What is the HCF of 5521,9080?
The HCF of 5521,9080 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 5521/298, 9080/172?
Answer: GCF of Numerators as per given numbers 5521/298, 9080/172 is
GCF of Numerators i.e. for 5521,9080 is 1
LCM of denominators i.e. for 298,172 is 25628.
Thus, GCF of Fractions is 1/25628.Finally, GCF of Fractions for 5521/298, 9080/172 is 1/25628.