GCF of 8766/324, 2774/3587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8766/324, 2774/3587 i.e 2/1162188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8766/324, 2774/3587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8766/324,2774/3587?
Given fractions are 8766/324,2774/3587
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 8766/324,2774/3587, numerators are 8766,2774
Denominators are 324,3587
The GCF of 8766,2774 is 2 .
LCM of 324,3587 is 1162188.
The greatest common factor of 8766/324,2774/3587 = [GCF of 8766,2774]/[LCM of 324,3587]= 2/1162188
Therefore, the GCF of 8766/324,2774/3587 is 2/1162188.
To find the highest common factor of 8766,2774, we have to find the factors of both numbers and list the highest common factor.
The factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766
The factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774
The HCF of 8766,2774 is 2.
Lets's calculate GCF of 8766,2774
| 2 | 8766, 2774 |
| 4383, 1387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8766,2774 By Matching Biggest Common Factor Method
Now, list down the factors of 8766
:1,2,3,6,9,18,487,974,1461,2922,4383,8766
Now, list down the factors of 2774
:1,2,19,38,73,146,1387,2774
Greatest Common Factor
We found the factors 8766,2774 . The biggest common factor number is the GCF number.
So the greatest common factor 8766,2774 is 2.
Lets's calculate LCM of 324,3587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1162188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1162188
Therefore, the GCF of Fractions 8766/324,2774/3587 is 2/1162188
Least Common Multiple of 324,3587 with GCF Formula
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 324,3587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,3587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,3587) x common factors =1 x 1 = 1
LCM(324,3587) = ( 324 × 3587 ) / 1
LCM(324,3587) = 1162188 / 1
LCM(324,3587) = 1162188
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8766/324, 2774/3587
1. What is the HCF of 8766,2774?
The HCF of 8766,2774 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 8766/324, 2774/3587?
Answer: GCF of Numerators as per given numbers 8766/324, 2774/3587 is
GCF of Numerators i.e. for 8766,2774 is 2
LCM of denominators i.e. for 324,3587 is 1162188.
Thus, GCF of Fractions is 2/1162188.Finally, GCF of Fractions for 8766/324, 2774/3587 is 2/1162188.