Use our free GCF of Fractions Calculator tool to compute the GCF of 902/749, 968/657 i.e 22/492093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/749, 968/657.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 902/749,968/657
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 902/749,968/657, numerators are 902,968
Denominators are 749,657
The GCF of 902,968 is 22 .
LCM of 749,657 is 492093.
The greatest common factor of 902/749,968/657 = [GCF of 902,968]/[LCM of 749,657]= 22/492093
Therefore, the GCF of 902/749,968/657 is 22/492093.
To find the highest common factor of 902,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 902,968 is 22.
Lets's calculate GCF of 902,968
2 | 902, 968 |
11 | 451, 484 |
41, 44 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 902,968 . The biggest common factor number is the GCF number.
So the greatest common factor 902,968 is 22.
Lets's calculate LCM of 749,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 492093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/492093
Therefore, the GCF of Fractions 902/749,968/657 is 22/492093
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 749,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,657) x common factors =1 x 1 = 1
LCM(749,657) = ( 749 × 657 ) / 1
LCM(749,657) = 492093 / 1
LCM(749,657) = 492093
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 902,968?
The HCF of 902,968 is 22
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 902/749, 968/657?
Answer: GCF of Numerators as per given numbers 902/749, 968/657 is
GCF of Numerators i.e. for 902,968 is 22
LCM of denominators i.e. for 749,657 is 492093.
Thus, GCF of Fractions is 22/492093.Finally, GCF of Fractions for 902/749, 968/657 is 22/492093.