Use our free GCF of Fractions Calculator tool to compute the GCF of 907/992, 976/241 i.e 1/239072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/992, 976/241.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/992,976/241
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 907/992,976/241, numerators are 907,976
Denominators are 992,241
The GCF of 907,976 is 1 .
LCM of 992,241 is 239072.
The greatest common factor of 907/992,976/241 = [GCF of 907,976]/[LCM of 992,241]= 1/239072
Therefore, the GCF of 907/992,976/241 is 1/239072.
To find the highest common factor of 907,976, we have to find the factors of both numbers and list the highest common factor.
The factors of 907 are 1, 907
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The HCF of 907,976 is 1.
Lets's calculate GCF of 907,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 907
:1,907
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 907,976 . The biggest common factor number is the GCF number.
So the greatest common factor 907,976 is 1.
Lets's calculate LCM of 992,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 239072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239072
Therefore, the GCF of Fractions 907/992,976/241 is 1/239072
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 992,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,241) x common factors =1 x 1 = 1
LCM(992,241) = ( 992 × 241 ) / 1
LCM(992,241) = 239072 / 1
LCM(992,241) = 239072
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 907,976?
The HCF of 907,976 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 907/992, 976/241?
Answer: GCF of Numerators as per given numbers 907/992, 976/241 is
GCF of Numerators i.e. for 907,976 is 1
LCM of denominators i.e. for 992,241 is 239072.
Thus, GCF of Fractions is 1/239072.Finally, GCF of Fractions for 907/992, 976/241 is 1/239072.