GCF of 887/500, 145/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 887/500, 145/309 i.e 1/154500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/500, 145/309.
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 887/500,145/309?
Given fractions are 887/500,145/309
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 887/500,145/309, numerators are 887,145
Denominators are 500,309
The GCF of 887,145 is 1 .
LCM of 500,309 is 154500.
The greatest common factor of 887/500,145/309 = [GCF of 887,145]/[LCM of 500,309]= 1/154500
Therefore, the GCF of 887/500,145/309 is 1/154500.
To find the highest common factor of 887,145, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 145 are 1, 5, 29, 145
The HCF of 887,145 is 1.
Lets's calculate GCF of 887,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 887,145 By Matching Biggest Common Factor Method
Now, list down the factors of 887
:1,887
Now, list down the factors of 145
:1,5,29,145
Greatest Common Factor
We found the factors 887,145 . The biggest common factor number is the GCF number.
So the greatest common factor 887,145 is 1.
Lets's calculate LCM of 500,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 154500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154500
Therefore, the GCF of Fractions 887/500,145/309 is 1/154500
Least Common Multiple of 500,309 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 500,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,309) x common factors =1 x 1 = 1
LCM(500,309) = ( 500 × 309 ) / 1
LCM(500,309) = 154500 / 1
LCM(500,309) = 154500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 887/500, 145/309
1. What is the HCF of 887,145?
The HCF of 887,145 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 887/500, 145/309?
Answer: GCF of Numerators as per given numbers 887/500, 145/309 is
GCF of Numerators i.e. for 887,145 is 1
LCM of denominators i.e. for 500,309 is 154500.
Thus, GCF of Fractions is 1/154500.Finally, GCF of Fractions for 887/500, 145/309 is 1/154500.