Use our free GCF of Fractions Calculator tool to compute the GCF of 8496/221, 1716/1442 i.e 12/318682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8496/221, 1716/1442.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8496/221,1716/1442
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 8496/221,1716/1442, numerators are 8496,1716
Denominators are 221,1442
The GCF of 8496,1716 is 12 .
LCM of 221,1442 is 318682.
The greatest common factor of 8496/221,1716/1442 = [GCF of 8496,1716]/[LCM of 221,1442]= 12/318682
Therefore, the GCF of 8496/221,1716/1442 is 12/318682.
To find the highest common factor of 8496,1716, we have to find the factors of both numbers and list the highest common factor.
The factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496
The factors of 1716 are 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716
The HCF of 8496,1716 is 12.
Lets's calculate GCF of 8496,1716
2 | 8496, 1716 |
2 | 4248, 858 |
3 | 2124, 429 |
708, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 8496
:1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Now, list down the factors of 1716
:1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716
Greatest Common Factor
We found the factors 8496,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,1716 is 12.
Lets's calculate LCM of 221,1442
Given numbers has no common factors except 1. So, there LCM is their product i.e 318682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/318682
Therefore, the GCF of Fractions 8496/221,1716/1442 is 12/318682
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 221,1442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,1442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,1442) x common factors =1 x 1 = 1
LCM(221,1442) = ( 221 × 1442 ) / 1
LCM(221,1442) = 318682 / 1
LCM(221,1442) = 318682
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8496,1716?
The HCF of 8496,1716 is 12
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 8496/221, 1716/1442?
Answer: GCF of Numerators as per given numbers 8496/221, 1716/1442 is
GCF of Numerators i.e. for 8496,1716 is 12
LCM of denominators i.e. for 221,1442 is 318682.
Thus, GCF of Fractions is 12/318682.Finally, GCF of Fractions for 8496/221, 1716/1442 is 12/318682.