Use our free GCF of Fractions Calculator tool to compute the GCF of 7155/266, 3051/9944 i.e 27/1322552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7155/266, 3051/9944.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7155/266,3051/9944
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 7155/266,3051/9944, numerators are 7155,3051
Denominators are 266,9944
The GCF of 7155,3051 is 27 .
LCM of 266,9944 is 1322552.
The greatest common factor of 7155/266,3051/9944 = [GCF of 7155,3051]/[LCM of 266,9944]= 27/1322552
Therefore, the GCF of 7155/266,3051/9944 is 27/1322552.
To find the highest common factor of 7155,3051, we have to find the factors of both numbers and list the highest common factor.
The factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155
The factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051
The HCF of 7155,3051 is 27.
Lets's calculate GCF of 7155,3051
3 | 7155, 3051 |
3 | 2385, 1017 |
3 | 795, 339 |
265, 113 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Now, list down the factors of 7155
:1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155
Now, list down the factors of 3051
:1,3,9,27,113,339,1017,3051
Greatest Common Factor
We found the factors 7155,3051 . The biggest common factor number is the GCF number.
So the greatest common factor 7155,3051 is 27.
Lets's calculate LCM of 266,9944
2 | 266, 9944 |
133, 4972 |
∴ So the LCM of the given numbers is 2 x 133 x 4972 = 1322552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1322552
Therefore, the GCF of Fractions 7155/266,3051/9944 is 27/1322552
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 266,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,9944) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,9944) x common factors =2 x 1 = 2
LCM(266,9944) = ( 266 × 9944 ) / 2
LCM(266,9944) = 2645104 / 2
LCM(266,9944) = 1322552
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7155,3051?
The HCF of 7155,3051 is 27
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 7155/266, 3051/9944?
Answer: GCF of Numerators as per given numbers 7155/266, 3051/9944 is
GCF of Numerators i.e. for 7155,3051 is 27
LCM of denominators i.e. for 266,9944 is 1322552.
Thus, GCF of Fractions is 27/1322552.Finally, GCF of Fractions for 7155/266, 3051/9944 is 27/1322552.