Use our free GCF of Fractions Calculator tool to compute the GCF of 766/999, 883/152 i.e 1/151848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/999, 883/152.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 766/999,883/152
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 766/999,883/152, numerators are 766,883
Denominators are 999,152
The GCF of 766,883 is 1 .
LCM of 999,152 is 151848.
The greatest common factor of 766/999,883/152 = [GCF of 766,883]/[LCM of 999,152]= 1/151848
Therefore, the GCF of 766/999,883/152 is 1/151848.
To find the highest common factor of 766,883, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 883 are 1, 883
The HCF of 766,883 is 1.
Lets's calculate GCF of 766,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 883
:1,883
Greatest Common Factor
We found the factors 766,883 . The biggest common factor number is the GCF number.
So the greatest common factor 766,883 is 1.
Lets's calculate LCM of 999,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 151848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151848
Therefore, the GCF of Fractions 766/999,883/152 is 1/151848
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 999,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,152) x common factors =1 x 1 = 1
LCM(999,152) = ( 999 × 152 ) / 1
LCM(999,152) = 151848 / 1
LCM(999,152) = 151848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 766,883?
The HCF of 766,883 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 766/999, 883/152?
Answer: GCF of Numerators as per given numbers 766/999, 883/152 is
GCF of Numerators i.e. for 766,883 is 1
LCM of denominators i.e. for 999,152 is 151848.
Thus, GCF of Fractions is 1/151848.Finally, GCF of Fractions for 766/999, 883/152 is 1/151848.