GCF of 867/128, 2509/9204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/128, 2509/9204 i.e 1/294528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/128, 2509/9204.
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 867/128,2509/9204?
Given fractions are 867/128,2509/9204
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 867/128,2509/9204, numerators are 867,2509
Denominators are 128,9204
The GCF of 867,2509 is 1 .
LCM of 128,9204 is 294528.
The greatest common factor of 867/128,2509/9204 = [GCF of 867,2509]/[LCM of 128,9204]= 1/294528
Therefore, the GCF of 867/128,2509/9204 is 1/294528.
To find the highest common factor of 867,2509, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 2509 are 1, 13, 193, 2509
The HCF of 867,2509 is 1.
Lets's calculate GCF of 867,2509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 867,2509 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 2509
:1,13,193,2509
Greatest Common Factor
We found the factors 867,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 867,2509 is 1.
Lets's calculate LCM of 128,9204
| 2 | 128, 9204 |
| 2 | 64, 4602 |
| 32, 2301 |
∴ So the LCM of the given numbers is 2 x 2 x 32 x 2301 = 294528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294528
Therefore, the GCF of Fractions 867/128,2509/9204 is 1/294528
Least Common Multiple of 128,9204 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 128,9204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,9204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(128,9204) x common factors =4 x 1 = 4
LCM(128,9204) = ( 128 × 9204 ) / 4
LCM(128,9204) = 1178112 / 4
LCM(128,9204) = 294528
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 867/128, 2509/9204
1. What is the HCF of 867,2509?
The HCF of 867,2509 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 867/128, 2509/9204?
Answer: GCF of Numerators as per given numbers 867/128, 2509/9204 is
GCF of Numerators i.e. for 867,2509 is 1
LCM of denominators i.e. for 128,9204 is 294528.
Thus, GCF of Fractions is 1/294528.Finally, GCF of Fractions for 867/128, 2509/9204 is 1/294528.