Use our free GCF of Fractions Calculator tool to compute the GCF of 267/833, 756/292 i.e 3/243236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/833, 756/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/833,756/292
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 267/833,756/292, numerators are 267,756
Denominators are 833,292
The GCF of 267,756 is 3 .
LCM of 833,292 is 243236.
The greatest common factor of 267/833,756/292 = [GCF of 267,756]/[LCM of 833,292]= 3/243236
Therefore, the GCF of 267/833,756/292 is 3/243236.
To find the highest common factor of 267,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 267 are 1, 3, 89, 267
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 267,756 is 3.
Lets's calculate GCF of 267,756
3 | 267, 756 |
89, 252 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 267,756 . The biggest common factor number is the GCF number.
So the greatest common factor 267,756 is 3.
Lets's calculate LCM of 833,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 243236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/243236
Therefore, the GCF of Fractions 267/833,756/292 is 3/243236
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 833,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,292) x common factors =1 x 1 = 1
LCM(833,292) = ( 833 × 292 ) / 1
LCM(833,292) = 243236 / 1
LCM(833,292) = 243236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 267,756?
The HCF of 267,756 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 267/833, 756/292?
Answer: GCF of Numerators as per given numbers 267/833, 756/292 is
GCF of Numerators i.e. for 267,756 is 3
LCM of denominators i.e. for 833,292 is 243236.
Thus, GCF of Fractions is 3/243236.Finally, GCF of Fractions for 267/833, 756/292 is 3/243236.