Use our free GCF of Fractions Calculator tool to compute the GCF of 878/875, 157/437 i.e 1/382375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/875, 157/437.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/875,157/437
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 878/875,157/437, numerators are 878,157
Denominators are 875,437
The GCF of 878,157 is 1 .
LCM of 875,437 is 382375.
The greatest common factor of 878/875,157/437 = [GCF of 878,157]/[LCM of 875,437]= 1/382375
Therefore, the GCF of 878/875,157/437 is 1/382375.
To find the highest common factor of 878,157, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 157 are 1, 157
The HCF of 878,157 is 1.
Lets's calculate GCF of 878,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 157
:1,157
Greatest Common Factor
We found the factors 878,157 . The biggest common factor number is the GCF number.
So the greatest common factor 878,157 is 1.
Lets's calculate LCM of 875,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 382375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382375
Therefore, the GCF of Fractions 878/875,157/437 is 1/382375
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 875,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,437) x common factors =1 x 1 = 1
LCM(875,437) = ( 875 × 437 ) / 1
LCM(875,437) = 382375 / 1
LCM(875,437) = 382375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,157?
The HCF of 878,157 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 878/875, 157/437?
Answer: GCF of Numerators as per given numbers 878/875, 157/437 is
GCF of Numerators i.e. for 878,157 is 1
LCM of denominators i.e. for 875,437 is 382375.
Thus, GCF of Fractions is 1/382375.Finally, GCF of Fractions for 878/875, 157/437 is 1/382375.