Use our free GCF of Fractions Calculator tool to compute the GCF of 875/655, 860/674 i.e 5/441470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/655, 860/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/655,860/674
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 875/655,860/674, numerators are 875,860
Denominators are 655,674
The GCF of 875,860 is 5 .
LCM of 655,674 is 441470.
The greatest common factor of 875/655,860/674 = [GCF of 875,860]/[LCM of 655,674]= 5/441470
Therefore, the GCF of 875/655,860/674 is 5/441470.
To find the highest common factor of 875,860, we have to find the factors of both numbers and list the highest common factor.
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The HCF of 875,860 is 5.
Lets's calculate GCF of 875,860
5 | 875, 860 |
175, 172 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 875,860 . The biggest common factor number is the GCF number.
So the greatest common factor 875,860 is 5.
Lets's calculate LCM of 655,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 441470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/441470
Therefore, the GCF of Fractions 875/655,860/674 is 5/441470
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 655,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,674) x common factors =1 x 1 = 1
LCM(655,674) = ( 655 × 674 ) / 1
LCM(655,674) = 441470 / 1
LCM(655,674) = 441470
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 875,860?
The HCF of 875,860 is 5
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 875/655, 860/674?
Answer: GCF of Numerators as per given numbers 875/655, 860/674 is
GCF of Numerators i.e. for 875,860 is 5
LCM of denominators i.e. for 655,674 is 441470.
Thus, GCF of Fractions is 5/441470.Finally, GCF of Fractions for 875/655, 860/674 is 5/441470.