Use our free GCF of Fractions Calculator tool to compute the GCF of 881/942, 128/507 i.e 1/159198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 881/942, 128/507.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 881/942,128/507
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 881/942,128/507, numerators are 881,128
Denominators are 942,507
The GCF of 881,128 is 1 .
LCM of 942,507 is 159198.
The greatest common factor of 881/942,128/507 = [GCF of 881,128]/[LCM of 942,507]= 1/159198
Therefore, the GCF of 881/942,128/507 is 1/159198.
To find the highest common factor of 881,128, we have to find the factors of both numbers and list the highest common factor.
The factors of 881 are 1, 881
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The HCF of 881,128 is 1.
Lets's calculate GCF of 881,128
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 881
:1,881
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 881,128 . The biggest common factor number is the GCF number.
So the greatest common factor 881,128 is 1.
Lets's calculate LCM of 942,507
3 | 942, 507 |
314, 169 |
∴ So the LCM of the given numbers is 3 x 314 x 169 = 159198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159198
Therefore, the GCF of Fractions 881/942,128/507 is 1/159198
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 942,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,507) x common factors =3 x 1 = 3
LCM(942,507) = ( 942 × 507 ) / 3
LCM(942,507) = 477594 / 3
LCM(942,507) = 159198
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 881,128?
The HCF of 881,128 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 881/942, 128/507?
Answer: GCF of Numerators as per given numbers 881/942, 128/507 is
GCF of Numerators i.e. for 881,128 is 1
LCM of denominators i.e. for 942,507 is 159198.
Thus, GCF of Fractions is 1/159198.Finally, GCF of Fractions for 881/942, 128/507 is 1/159198.