Use our free GCF of Fractions Calculator tool to compute the GCF of 3591/264, 1126/4751 i.e 1/1254264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3591/264, 1126/4751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3591/264,1126/4751
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 3591/264,1126/4751, numerators are 3591,1126
Denominators are 264,4751
The GCF of 3591,1126 is 1 .
LCM of 264,4751 is 1254264.
The greatest common factor of 3591/264,1126/4751 = [GCF of 3591,1126]/[LCM of 264,4751]= 1/1254264
Therefore, the GCF of 3591/264,1126/4751 is 1/1254264.
To find the highest common factor of 3591,1126, we have to find the factors of both numbers and list the highest common factor.
The factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591
The factors of 1126 are 1, 2, 563, 1126
The HCF of 3591,1126 is 1.
Lets's calculate GCF of 3591,1126
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3591
:1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591
Now, list down the factors of 1126
:1,2,563,1126
Greatest Common Factor
We found the factors 3591,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 3591,1126 is 1.
Lets's calculate LCM of 264,4751
Given numbers has no common factors except 1. So, there LCM is their product i.e 1254264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1254264
Therefore, the GCF of Fractions 3591/264,1126/4751 is 1/1254264
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 264,4751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,4751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,4751) x common factors =1 x 1 = 1
LCM(264,4751) = ( 264 × 4751 ) / 1
LCM(264,4751) = 1254264 / 1
LCM(264,4751) = 1254264
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3591,1126?
The HCF of 3591,1126 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 3591/264, 1126/4751?
Answer: GCF of Numerators as per given numbers 3591/264, 1126/4751 is
GCF of Numerators i.e. for 3591,1126 is 1
LCM of denominators i.e. for 264,4751 is 1254264.
Thus, GCF of Fractions is 1/1254264.Finally, GCF of Fractions for 3591/264, 1126/4751 is 1/1254264.