Use our free GCF of Fractions Calculator tool to compute the GCF of 8402/972, 1166/2611 i.e 2/2537892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8402/972, 1166/2611.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8402/972,1166/2611
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 8402/972,1166/2611, numerators are 8402,1166
Denominators are 972,2611
The GCF of 8402,1166 is 2 .
LCM of 972,2611 is 2537892.
The greatest common factor of 8402/972,1166/2611 = [GCF of 8402,1166]/[LCM of 972,2611]= 2/2537892
Therefore, the GCF of 8402/972,1166/2611 is 2/2537892.
To find the highest common factor of 8402,1166, we have to find the factors of both numbers and list the highest common factor.
The factors of 8402 are 1, 2, 4201, 8402
The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166
The HCF of 8402,1166 is 2.
Lets's calculate GCF of 8402,1166
2 | 8402, 1166 |
4201, 583 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8402
:1,2,4201,8402
Now, list down the factors of 1166
:1,2,11,22,53,106,583,1166
Greatest Common Factor
We found the factors 8402,1166 . The biggest common factor number is the GCF number.
So the greatest common factor 8402,1166 is 2.
Lets's calculate LCM of 972,2611
Given numbers has no common factors except 1. So, there LCM is their product i.e 2537892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2537892
Therefore, the GCF of Fractions 8402/972,1166/2611 is 2/2537892
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 972,2611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,2611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,2611) x common factors =1 x 1 = 1
LCM(972,2611) = ( 972 × 2611 ) / 1
LCM(972,2611) = 2537892 / 1
LCM(972,2611) = 2537892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8402,1166?
The HCF of 8402,1166 is 2
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 8402/972, 1166/2611?
Answer: GCF of Numerators as per given numbers 8402/972, 1166/2611 is
GCF of Numerators i.e. for 8402,1166 is 2
LCM of denominators i.e. for 972,2611 is 2537892.
Thus, GCF of Fractions is 2/2537892.Finally, GCF of Fractions for 8402/972, 1166/2611 is 2/2537892.