GCF of 865/20, 392/1125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 865/20, 392/1125 i.e 1/4500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 865/20, 392/1125.
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 865/20,392/1125?
Given fractions are 865/20,392/1125
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 865/20,392/1125, numerators are 865,392
Denominators are 20,1125
The GCF of 865,392 is 1 .
LCM of 20,1125 is 4500.
The greatest common factor of 865/20,392/1125 = [GCF of 865,392]/[LCM of 20,1125]= 1/4500
Therefore, the GCF of 865/20,392/1125 is 1/4500.
To find the highest common factor of 865,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 865 are 1, 5, 173, 865
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 865,392 is 1.
Lets's calculate GCF of 865,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 865,392 By Matching Biggest Common Factor Method
Now, list down the factors of 865
:1,5,173,865
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 865,392 . The biggest common factor number is the GCF number.
So the greatest common factor 865,392 is 1.
Lets's calculate LCM of 20,1125
| 5 | 20, 1125 |
| 4, 225 |
∴ So the LCM of the given numbers is 5 x 4 x 225 = 4500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4500
Therefore, the GCF of Fractions 865/20,392/1125 is 1/4500
Least Common Multiple of 20,1125 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 20,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,1125) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,1125) x common factors =5 x 1 = 5
LCM(20,1125) = ( 20 × 1125 ) / 5
LCM(20,1125) = 22500 / 5
LCM(20,1125) = 4500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 865/20, 392/1125
1. What is the HCF of 865,392?
The HCF of 865,392 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 865/20, 392/1125?
Answer: GCF of Numerators as per given numbers 865/20, 392/1125 is
GCF of Numerators i.e. for 865,392 is 1
LCM of denominators i.e. for 20,1125 is 4500.
Thus, GCF of Fractions is 1/4500.Finally, GCF of Fractions for 865/20, 392/1125 is 1/4500.