Use our free GCF of Fractions Calculator tool to compute the GCF of 87/191, 92/960, 874/723 i.e 1/44189760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/191, 92/960, 874/723.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/191,92/960,874/723
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 87/191,92/960,874/723, numerators are 87,92,874
Denominators are 191,960,723
The GCF of 87,92,874 is 1 .
LCM of 191,960,723 is 44189760.
The greatest common factor of 87/191,92/960,874/723 = [GCF of 87,92,874]/[LCM of 191,960,723]= 1/44189760
Therefore, the GCF of 87/191,92/960,874/723 is 1/44189760.
To find the highest common factor of 87,92,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 87,92,874 is 1.
Lets's calculate GCF of 87,92,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 87,92,874 . The biggest common factor number is the GCF number.
So the greatest common factor 87,92,874 is 1.
Lets's calculate LCM of 191,960,723
3 | 191, 960, 723 |
191, 320, 241 |
∴ So the LCM of the given numbers is 3 x 191 x 320 x 241 = 44189760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44189760
Therefore, the GCF of Fractions 87/191,92/960,874/723 is 1/44189760
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 191,960,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,960,723) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(191,960,723) x common factors =1 x 3 = 3
LCM(191,960,723) = ( 191 × 960 × 723 ) / 3
LCM(191,960,723) = 132569280 / 3
LCM(191,960,723) = 44189760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,92,874?
The HCF of 87,92,874 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 87/191, 92/960, 874/723?
Answer: GCF of Numerators as per given numbers 87/191, 92/960, 874/723 is
GCF of Numerators i.e. for 87,92,874 is 1
LCM of denominators i.e. for 191,960,723 is 44189760.
Thus, GCF of Fractions is 1/44189760.Finally, GCF of Fractions for 87/191, 92/960, 874/723 is 1/44189760.