Use our free GCF of Fractions Calculator tool to compute the GCF of 969/368, 601/251 i.e 1/92368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/368, 601/251.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 969/368,601/251
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 969/368,601/251, numerators are 969,601
Denominators are 368,251
The GCF of 969,601 is 1 .
LCM of 368,251 is 92368.
The greatest common factor of 969/368,601/251 = [GCF of 969,601]/[LCM of 368,251]= 1/92368
Therefore, the GCF of 969/368,601/251 is 1/92368.
To find the highest common factor of 969,601, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 601 are 1, 601
The HCF of 969,601 is 1.
Lets's calculate GCF of 969,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 601
:1,601
Greatest Common Factor
We found the factors 969,601 . The biggest common factor number is the GCF number.
So the greatest common factor 969,601 is 1.
Lets's calculate LCM of 368,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 92368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92368
Therefore, the GCF of Fractions 969/368,601/251 is 1/92368
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 368,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,251) x common factors =1 x 1 = 1
LCM(368,251) = ( 368 × 251 ) / 1
LCM(368,251) = 92368 / 1
LCM(368,251) = 92368
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 969,601?
The HCF of 969,601 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 969/368, 601/251?
Answer: GCF of Numerators as per given numbers 969/368, 601/251 is
GCF of Numerators i.e. for 969,601 is 1
LCM of denominators i.e. for 368,251 is 92368.
Thus, GCF of Fractions is 1/92368.Finally, GCF of Fractions for 969/368, 601/251 is 1/92368.