GCF of 1036/12, 2716/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1036/12, 2716/231 i.e 28/924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1036/12, 2716/231.
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 1036/12,2716/231?
Given fractions are 1036/12,2716/231
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 1036/12,2716/231, numerators are 1036,2716
Denominators are 12,231
The GCF of 1036,2716 is 28 .
LCM of 12,231 is 924.
The greatest common factor of 1036/12,2716/231 = [GCF of 1036,2716]/[LCM of 12,231]= 28/924
Therefore, the GCF of 1036/12,2716/231 is 28/924.
To find the highest common factor of 1036,2716, we have to find the factors of both numbers and list the highest common factor.
The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
The factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716
The HCF of 1036,2716 is 28.
Lets's calculate GCF of 1036,2716
| 2 | 1036, 2716 |
| 2 | 518, 1358 |
| 7 | 259, 679 |
| 37, 97 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1036,2716 By Matching Biggest Common Factor Method
Now, list down the factors of 1036
:1,2,4,7,14,28,37,74,148,259,518,1036
Now, list down the factors of 2716
:1,2,4,7,14,28,97,194,388,679,1358,2716
Greatest Common Factor
We found the factors 1036,2716 . The biggest common factor number is the GCF number.
So the greatest common factor 1036,2716 is 28.
Lets's calculate LCM of 12,231
| 3 | 12, 231 |
| 4, 77 |
∴ So the LCM of the given numbers is 3 x 4 x 77 = 924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/924
Therefore, the GCF of Fractions 1036/12,2716/231 is 28/924
Least Common Multiple of 12,231 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 12,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,231) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,231) x common factors =3 x 1 = 3
LCM(12,231) = ( 12 × 231 ) / 3
LCM(12,231) = 2772 / 3
LCM(12,231) = 924
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1036/12, 2716/231
1. What is the HCF of 1036,2716?
The HCF of 1036,2716 is 28
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 1036/12, 2716/231?
Answer: GCF of Numerators as per given numbers 1036/12, 2716/231 is
GCF of Numerators i.e. for 1036,2716 is 28
LCM of denominators i.e. for 12,231 is 924.
Thus, GCF of Fractions is 28/924.Finally, GCF of Fractions for 1036/12, 2716/231 is 28/924.