GCF of 8638/734, 9504/1005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8638/734, 9504/1005 i.e 2/737670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8638/734, 9504/1005.
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 8638/734,9504/1005?
Given fractions are 8638/734,9504/1005
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 8638/734,9504/1005, numerators are 8638,9504
Denominators are 734,1005
The GCF of 8638,9504 is 2 .
LCM of 734,1005 is 737670.
The greatest common factor of 8638/734,9504/1005 = [GCF of 8638,9504]/[LCM of 734,1005]= 2/737670
Therefore, the GCF of 8638/734,9504/1005 is 2/737670.
To find the highest common factor of 8638,9504, we have to find the factors of both numbers and list the highest common factor.
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The HCF of 8638,9504 is 2.
Lets's calculate GCF of 8638,9504
| 2 | 8638, 9504 |
| 4319, 4752 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8638,9504 By Matching Biggest Common Factor Method
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Greatest Common Factor
We found the factors 8638,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 8638,9504 is 2.
Lets's calculate LCM of 734,1005
Given numbers has no common factors except 1. So, there LCM is their product i.e 737670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/737670
Therefore, the GCF of Fractions 8638/734,9504/1005 is 2/737670
Least Common Multiple of 734,1005 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 734,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,1005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,1005) x common factors =1 x 1 = 1
LCM(734,1005) = ( 734 × 1005 ) / 1
LCM(734,1005) = 737670 / 1
LCM(734,1005) = 737670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8638/734, 9504/1005
1. What is the HCF of 8638,9504?
The HCF of 8638,9504 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 8638/734, 9504/1005?
Answer: GCF of Numerators as per given numbers 8638/734, 9504/1005 is
GCF of Numerators i.e. for 8638,9504 is 2
LCM of denominators i.e. for 734,1005 is 737670.
Thus, GCF of Fractions is 2/737670.Finally, GCF of Fractions for 8638/734, 9504/1005 is 2/737670.