GCF of 1133/504, 8712/8726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1133/504, 8712/8726 i.e 11/2198952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1133/504, 8712/8726.
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 1133/504,8712/8726?
Given fractions are 1133/504,8712/8726
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 1133/504,8712/8726, numerators are 1133,8712
Denominators are 504,8726
The GCF of 1133,8712 is 11 .
LCM of 504,8726 is 2198952.
The greatest common factor of 1133/504,8712/8726 = [GCF of 1133,8712]/[LCM of 504,8726]= 11/2198952
Therefore, the GCF of 1133/504,8712/8726 is 11/2198952.
To find the highest common factor of 1133,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 1133 are 1, 11, 103, 1133
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 1133,8712 is 11.
Lets's calculate GCF of 1133,8712
| 11 | 1133, 8712 |
| 103, 792 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1133,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 1133
:1,11,103,1133
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 1133,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,8712 is 11.
Lets's calculate LCM of 504,8726
| 2 | 504, 8726 |
| 252, 4363 |
∴ So the LCM of the given numbers is 2 x 252 x 4363 = 2198952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2198952
Therefore, the GCF of Fractions 1133/504,8712/8726 is 11/2198952
Least Common Multiple of 504,8726 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 504,8726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,8726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(504,8726) x common factors =2 x 1 = 2
LCM(504,8726) = ( 504 × 8726 ) / 2
LCM(504,8726) = 4397904 / 2
LCM(504,8726) = 2198952
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1133/504, 8712/8726
1. What is the HCF of 1133,8712?
The HCF of 1133,8712 is 11
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 1133/504, 8712/8726?
Answer: GCF of Numerators as per given numbers 1133/504, 8712/8726 is
GCF of Numerators i.e. for 1133,8712 is 11
LCM of denominators i.e. for 504,8726 is 2198952.
Thus, GCF of Fractions is 11/2198952.Finally, GCF of Fractions for 1133/504, 8712/8726 is 11/2198952.