Use our free GCF of Fractions Calculator tool to compute the GCF of 369/821, 264/969 i.e 3/795549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 369/821, 264/969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/821,264/969
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 369/821,264/969, numerators are 369,264
Denominators are 821,969
The GCF of 369,264 is 3 .
LCM of 821,969 is 795549.
The greatest common factor of 369/821,264/969 = [GCF of 369,264]/[LCM of 821,969]= 3/795549
Therefore, the GCF of 369/821,264/969 is 3/795549.
To find the highest common factor of 369,264, we have to find the factors of both numbers and list the highest common factor.
The factors of 369 are 1, 3, 9, 41, 123, 369
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The HCF of 369,264 is 3.
Lets's calculate GCF of 369,264
3 | 369, 264 |
123, 88 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 369
:1,3,9,41,123,369
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 369,264 . The biggest common factor number is the GCF number.
So the greatest common factor 369,264 is 3.
Lets's calculate LCM of 821,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 795549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/795549
Therefore, the GCF of Fractions 369/821,264/969 is 3/795549
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 821,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,969) x common factors =1 x 1 = 1
LCM(821,969) = ( 821 × 969 ) / 1
LCM(821,969) = 795549 / 1
LCM(821,969) = 795549
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 369,264?
The HCF of 369,264 is 3
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 369/821, 264/969?
Answer: GCF of Numerators as per given numbers 369/821, 264/969 is
GCF of Numerators i.e. for 369,264 is 3
LCM of denominators i.e. for 821,969 is 795549.
Thus, GCF of Fractions is 3/795549.Finally, GCF of Fractions for 369/821, 264/969 is 3/795549.