GCF of 860/715, 250/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 860/715, 250/382 i.e 10/273130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/715, 250/382.
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 860/715,250/382?
Given fractions are 860/715,250/382
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 860/715,250/382, numerators are 860,250
Denominators are 715,382
The GCF of 860,250 is 10 .
LCM of 715,382 is 273130.
The greatest common factor of 860/715,250/382 = [GCF of 860,250]/[LCM of 715,382]= 10/273130
Therefore, the GCF of 860/715,250/382 is 10/273130.
To find the highest common factor of 860,250, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The HCF of 860,250 is 10.
Lets's calculate GCF of 860,250
| 2 | 860, 250 |
| 5 | 430, 125 |
| 86, 25 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 860,250 By Matching Biggest Common Factor Method
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 860,250 . The biggest common factor number is the GCF number.
So the greatest common factor 860,250 is 10.
Lets's calculate LCM of 715,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 273130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/273130
Therefore, the GCF of Fractions 860/715,250/382 is 10/273130
Least Common Multiple of 715,382 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 715,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,382) x common factors =1 x 1 = 1
LCM(715,382) = ( 715 × 382 ) / 1
LCM(715,382) = 273130 / 1
LCM(715,382) = 273130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 860/715, 250/382
1. What is the HCF of 860,250?
The HCF of 860,250 is 10
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 860/715, 250/382?
Answer: GCF of Numerators as per given numbers 860/715, 250/382 is
GCF of Numerators i.e. for 860,250 is 10
LCM of denominators i.e. for 715,382 is 273130.
Thus, GCF of Fractions is 10/273130.Finally, GCF of Fractions for 860/715, 250/382 is 10/273130.