GCF of 8824/931, 2728/1385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8824/931, 2728/1385 i.e 8/1289435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8824/931, 2728/1385.
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 8824/931,2728/1385?
Given fractions are 8824/931,2728/1385
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 8824/931,2728/1385, numerators are 8824,2728
Denominators are 931,1385
The GCF of 8824,2728 is 8 .
LCM of 931,1385 is 1289435.
The greatest common factor of 8824/931,2728/1385 = [GCF of 8824,2728]/[LCM of 931,1385]= 8/1289435
Therefore, the GCF of 8824/931,2728/1385 is 8/1289435.
To find the highest common factor of 8824,2728, we have to find the factors of both numbers and list the highest common factor.
The factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824
The factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728
The HCF of 8824,2728 is 8.
Lets's calculate GCF of 8824,2728
| 2 | 8824, 2728 |
| 2 | 4412, 1364 |
| 2 | 2206, 682 |
| 1103, 341 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8824,2728 By Matching Biggest Common Factor Method
Now, list down the factors of 8824
:1,2,4,8,1103,2206,4412,8824
Now, list down the factors of 2728
:1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Greatest Common Factor
We found the factors 8824,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 8824,2728 is 8.
Lets's calculate LCM of 931,1385
Given numbers has no common factors except 1. So, there LCM is their product i.e 1289435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1289435
Therefore, the GCF of Fractions 8824/931,2728/1385 is 8/1289435
Least Common Multiple of 931,1385 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 931,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,1385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,1385) x common factors =1 x 1 = 1
LCM(931,1385) = ( 931 × 1385 ) / 1
LCM(931,1385) = 1289435 / 1
LCM(931,1385) = 1289435
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FAQs on GCF of Fractions of 8824/931, 2728/1385
1. What is the HCF of 8824,2728?
The HCF of 8824,2728 is 8
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 8824/931, 2728/1385?
Answer: GCF of Numerators as per given numbers 8824/931, 2728/1385 is
GCF of Numerators i.e. for 8824,2728 is 8
LCM of denominators i.e. for 931,1385 is 1289435.
Thus, GCF of Fractions is 8/1289435.Finally, GCF of Fractions for 8824/931, 2728/1385 is 8/1289435.