Use our free GCF of Fractions Calculator tool to compute the GCF of 878/890, 633/750 i.e 1/66750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/890, 633/750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/890,633/750
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 878/890,633/750, numerators are 878,633
Denominators are 890,750
The GCF of 878,633 is 1 .
LCM of 890,750 is 66750.
The greatest common factor of 878/890,633/750 = [GCF of 878,633]/[LCM of 890,750]= 1/66750
Therefore, the GCF of 878/890,633/750 is 1/66750.
To find the highest common factor of 878,633, 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 633 are 1, 3, 211, 633
The HCF of 878,633 is 1.
Lets's calculate GCF of 878,633
∴ 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 633
:1,3,211,633
Greatest Common Factor
We found the factors 878,633 . The biggest common factor number is the GCF number.
So the greatest common factor 878,633 is 1.
Lets's calculate LCM of 890,750
2 | 890, 750 |
5 | 445, 375 |
89, 75 |
∴ So the LCM of the given numbers is 2 x 5 x 89 x 75 = 66750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66750
Therefore, the GCF of Fractions 878/890,633/750 is 1/66750
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 890,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,750) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(890,750) x common factors =10 x 1 = 10
LCM(890,750) = ( 890 × 750 ) / 10
LCM(890,750) = 667500 / 10
LCM(890,750) = 66750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,633?
The HCF of 878,633 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 878/890, 633/750?
Answer: GCF of Numerators as per given numbers 878/890, 633/750 is
GCF of Numerators i.e. for 878,633 is 1
LCM of denominators i.e. for 890,750 is 66750.
Thus, GCF of Fractions is 1/66750.Finally, GCF of Fractions for 878/890, 633/750 is 1/66750.