GCF of 1552/855, 8200/6913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1552/855, 8200/6913 i.e 8/5910615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1552/855, 8200/6913.
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 1552/855,8200/6913?
Given fractions are 1552/855,8200/6913
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 1552/855,8200/6913, numerators are 1552,8200
Denominators are 855,6913
The GCF of 1552,8200 is 8 .
LCM of 855,6913 is 5910615.
The greatest common factor of 1552/855,8200/6913 = [GCF of 1552,8200]/[LCM of 855,6913]= 8/5910615
Therefore, the GCF of 1552/855,8200/6913 is 8/5910615.
To find the highest common factor of 1552,8200, we have to find the factors of both numbers and list the highest common factor.
The factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552
The factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200
The HCF of 1552,8200 is 8.
Lets's calculate GCF of 1552,8200
| 2 | 1552, 8200 |
| 2 | 776, 4100 |
| 2 | 388, 2050 |
| 194, 1025 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1552,8200 By Matching Biggest Common Factor Method
Now, list down the factors of 1552
:1,2,4,8,16,97,194,388,776,1552
Now, list down the factors of 8200
:1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200
Greatest Common Factor
We found the factors 1552,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 1552,8200 is 8.
Lets's calculate LCM of 855,6913
Given numbers has no common factors except 1. So, there LCM is their product i.e 5910615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5910615
Therefore, the GCF of Fractions 1552/855,8200/6913 is 8/5910615
Least Common Multiple of 855,6913 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 855,6913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,6913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,6913) x common factors =1 x 1 = 1
LCM(855,6913) = ( 855 × 6913 ) / 1
LCM(855,6913) = 5910615 / 1
LCM(855,6913) = 5910615
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1552/855, 8200/6913
1. What is the HCF of 1552,8200?
The HCF of 1552,8200 is 8
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 1552/855, 8200/6913?
Answer: GCF of Numerators as per given numbers 1552/855, 8200/6913 is
GCF of Numerators i.e. for 1552,8200 is 8
LCM of denominators i.e. for 855,6913 is 5910615.
Thus, GCF of Fractions is 8/5910615.Finally, GCF of Fractions for 1552/855, 8200/6913 is 8/5910615.