GCF of 6121/482, 8804/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6121/482, 8804/180 i.e 1/43380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6121/482, 8804/180.
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 6121/482,8804/180?
Given fractions are 6121/482,8804/180
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 6121/482,8804/180, numerators are 6121,8804
Denominators are 482,180
The GCF of 6121,8804 is 1 .
LCM of 482,180 is 43380.
The greatest common factor of 6121/482,8804/180 = [GCF of 6121,8804]/[LCM of 482,180]= 1/43380
Therefore, the GCF of 6121/482,8804/180 is 1/43380.
To find the highest common factor of 6121,8804, we have to find the factors of both numbers and list the highest common factor.
The factors of 6121 are 1, 6121
The factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804
The HCF of 6121,8804 is 1.
Lets's calculate GCF of 6121,8804
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6121,8804 By Matching Biggest Common Factor Method
Now, list down the factors of 6121
:1,6121
Now, list down the factors of 8804
:1,2,4,31,62,71,124,142,284,2201,4402,8804
Greatest Common Factor
We found the factors 6121,8804 . The biggest common factor number is the GCF number.
So the greatest common factor 6121,8804 is 1.
Lets's calculate LCM of 482,180
| 2 | 482, 180 |
| 241, 90 |
∴ So the LCM of the given numbers is 2 x 241 x 90 = 43380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43380
Therefore, the GCF of Fractions 6121/482,8804/180 is 1/43380
Least Common Multiple of 482,180 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 482,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,180) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,180) x common factors =2 x 1 = 2
LCM(482,180) = ( 482 × 180 ) / 2
LCM(482,180) = 86760 / 2
LCM(482,180) = 43380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6121/482, 8804/180
1. What is the HCF of 6121,8804?
The HCF of 6121,8804 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 6121/482, 8804/180?
Answer: GCF of Numerators as per given numbers 6121/482, 8804/180 is
GCF of Numerators i.e. for 6121,8804 is 1
LCM of denominators i.e. for 482,180 is 43380.
Thus, GCF of Fractions is 1/43380.Finally, GCF of Fractions for 6121/482, 8804/180 is 1/43380.