GCF of 8804/453, 5822/8855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8804/453, 5822/8855 i.e 142/4011315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8804/453, 5822/8855.
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 8804/453,5822/8855?
Given fractions are 8804/453,5822/8855
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 8804/453,5822/8855, numerators are 8804,5822
Denominators are 453,8855
The GCF of 8804,5822 is 142 .
LCM of 453,8855 is 4011315.
The greatest common factor of 8804/453,5822/8855 = [GCF of 8804,5822]/[LCM of 453,8855]= 142/4011315
Therefore, the GCF of 8804/453,5822/8855 is 142/4011315.
To find the highest common factor of 8804,5822, we have to find the factors of both numbers and list the highest common factor.
The factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804
The factors of 5822 are 1, 2, 41, 71, 82, 142, 2911, 5822
The HCF of 8804,5822 is 142.
Lets's calculate GCF of 8804,5822
| 2 | 8804, 5822 |
| 71 | 4402, 2911 |
| 62, 41 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 8804,5822 By Matching Biggest Common Factor Method
Now, list down the factors of 8804
:1,2,4,31,62,71,124,142,284,2201,4402,8804
Now, list down the factors of 5822
:1,2,41,71,82,142,2911,5822
Greatest Common Factor
We found the factors 8804,5822 . The biggest common factor number is the GCF number.
So the greatest common factor 8804,5822 is 142.
Lets's calculate LCM of 453,8855
Given numbers has no common factors except 1. So, there LCM is their product i.e 4011315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/4011315
Therefore, the GCF of Fractions 8804/453,5822/8855 is 142/4011315
Least Common Multiple of 453,8855 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 453,8855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,8855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,8855) x common factors =1 x 1 = 1
LCM(453,8855) = ( 453 × 8855 ) / 1
LCM(453,8855) = 4011315 / 1
LCM(453,8855) = 4011315
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FAQs on GCF of Fractions of 8804/453, 5822/8855
1. What is the HCF of 8804,5822?
The HCF of 8804,5822 is 142
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 8804/453, 5822/8855?
Answer: GCF of Numerators as per given numbers 8804/453, 5822/8855 is
GCF of Numerators i.e. for 8804,5822 is 142
LCM of denominators i.e. for 453,8855 is 4011315.
Thus, GCF of Fractions is 142/4011315.Finally, GCF of Fractions for 8804/453, 5822/8855 is 142/4011315.