GCF of 43/325, 75/652, 870/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/325, 75/652, 870/856 i.e 1/45346600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/325, 75/652, 870/856.
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 43/325,75/652,870/856?
Given fractions are 43/325,75/652,870/856
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 43/325,75/652,870/856, numerators are 43,75,870
Denominators are 325,652,856
The GCF of 43,75,870 is 1 .
LCM of 325,652,856 is 45346600.
The greatest common factor of 43/325,75/652,870/856 = [GCF of 43,75,870]/[LCM of 325,652,856]= 1/45346600
Therefore, the GCF of 43/325,75/652,870/856 is 1/45346600.
To find the highest common factor of 43,75,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 43,75,870 is 1.
Lets's calculate GCF of 43,75,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,75,870 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 43,75,870 . The biggest common factor number is the GCF number.
So the greatest common factor 43,75,870 is 1.
Lets's calculate LCM of 325,652,856
| 2 | 325, 652, 856 |
| 2 | 325, 326, 428 |
| 325, 163, 214 |
∴ So the LCM of the given numbers is 2 x 2 x 325 x 163 x 214 = 45346600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45346600
Therefore, the GCF of Fractions 43/325,75/652,870/856 is 1/45346600
Least Common Multiple of 325,652,856 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 325,652,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,652,856) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(325,652,856) x common factors =1 x 4 = 4
LCM(325,652,856) = ( 325 × 652 × 856 ) / 4
LCM(325,652,856) = 181386400 / 4
LCM(325,652,856) = 45346600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 43/325, 75/652, 870/856
1. What is the HCF of 43,75,870?
The HCF of 43,75,870 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 43/325, 75/652, 870/856?
Answer: GCF of Numerators as per given numbers 43/325, 75/652, 870/856 is
GCF of Numerators i.e. for 43,75,870 is 1
LCM of denominators i.e. for 325,652,856 is 45346600.
Thus, GCF of Fractions is 1/45346600.Finally, GCF of Fractions for 43/325, 75/652, 870/856 is 1/45346600.