Use our free GCF of Fractions Calculator tool to compute the GCF of 875/582, 719/708 i.e 1/68676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/582, 719/708.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/582,719/708
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 875/582,719/708, numerators are 875,719
Denominators are 582,708
The GCF of 875,719 is 1 .
LCM of 582,708 is 68676.
The greatest common factor of 875/582,719/708 = [GCF of 875,719]/[LCM of 582,708]= 1/68676
Therefore, the GCF of 875/582,719/708 is 1/68676.
To find the highest common factor of 875,719, 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 719 are 1, 719
The HCF of 875,719 is 1.
Lets's calculate GCF of 875,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 875,719 . The biggest common factor number is the GCF number.
So the greatest common factor 875,719 is 1.
Lets's calculate LCM of 582,708
2 | 582, 708 |
3 | 291, 354 |
97, 118 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 118 = 68676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68676
Therefore, the GCF of Fractions 875/582,719/708 is 1/68676
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 582,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,708) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,708) x common factors =6 x 1 = 6
LCM(582,708) = ( 582 × 708 ) / 6
LCM(582,708) = 412056 / 6
LCM(582,708) = 68676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 875,719?
The HCF of 875,719 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 875/582, 719/708?
Answer: GCF of Numerators as per given numbers 875/582, 719/708 is
GCF of Numerators i.e. for 875,719 is 1
LCM of denominators i.e. for 582,708 is 68676.
Thus, GCF of Fractions is 1/68676.Finally, GCF of Fractions for 875/582, 719/708 is 1/68676.