Use our free GCF of Fractions Calculator tool to compute the GCF of 749/632, 881/889 i.e 1/561848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/632, 881/889.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/632,881/889
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 749/632,881/889, numerators are 749,881
Denominators are 632,889
The GCF of 749,881 is 1 .
LCM of 632,889 is 561848.
The greatest common factor of 749/632,881/889 = [GCF of 749,881]/[LCM of 632,889]= 1/561848
Therefore, the GCF of 749/632,881/889 is 1/561848.
To find the highest common factor of 749,881, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 881 are 1, 881
The HCF of 749,881 is 1.
Lets's calculate GCF of 749,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 881
:1,881
Greatest Common Factor
We found the factors 749,881 . The biggest common factor number is the GCF number.
So the greatest common factor 749,881 is 1.
Lets's calculate LCM of 632,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 561848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561848
Therefore, the GCF of Fractions 749/632,881/889 is 1/561848
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 632,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,889) x common factors =1 x 1 = 1
LCM(632,889) = ( 632 × 889 ) / 1
LCM(632,889) = 561848 / 1
LCM(632,889) = 561848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 749,881?
The HCF of 749,881 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 749/632, 881/889?
Answer: GCF of Numerators as per given numbers 749/632, 881/889 is
GCF of Numerators i.e. for 749,881 is 1
LCM of denominators i.e. for 632,889 is 561848.
Thus, GCF of Fractions is 1/561848.Finally, GCF of Fractions for 749/632, 881/889 is 1/561848.