GCF of 1512/217, 9772/9817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1512/217, 9772/9817 i.e 28/2130289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1512/217, 9772/9817.
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 1512/217,9772/9817?
Given fractions are 1512/217,9772/9817
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 1512/217,9772/9817, numerators are 1512,9772
Denominators are 217,9817
The GCF of 1512,9772 is 28 .
LCM of 217,9817 is 2130289.
The greatest common factor of 1512/217,9772/9817 = [GCF of 1512,9772]/[LCM of 217,9817]= 28/2130289
Therefore, the GCF of 1512/217,9772/9817 is 28/2130289.
To find the highest common factor of 1512,9772, we have to find the factors of both numbers and list the highest common factor.
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772
The HCF of 1512,9772 is 28.
Lets's calculate GCF of 1512,9772
| 2 | 1512, 9772 |
| 2 | 756, 4886 |
| 7 | 378, 2443 |
| 54, 349 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1512,9772 By Matching Biggest Common Factor Method
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Now, list down the factors of 9772
:1,2,4,7,14,28,349,698,1396,2443,4886,9772
Greatest Common Factor
We found the factors 1512,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 1512,9772 is 28.
Lets's calculate LCM of 217,9817
Given numbers has no common factors except 1. So, there LCM is their product i.e 2130289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/2130289
Therefore, the GCF of Fractions 1512/217,9772/9817 is 28/2130289
Least Common Multiple of 217,9817 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 217,9817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,9817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,9817) x common factors =1 x 1 = 1
LCM(217,9817) = ( 217 × 9817 ) / 1
LCM(217,9817) = 2130289 / 1
LCM(217,9817) = 2130289
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FAQs on GCF of Fractions of 1512/217, 9772/9817
1. What is the HCF of 1512,9772?
The HCF of 1512,9772 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 1512/217, 9772/9817?
Answer: GCF of Numerators as per given numbers 1512/217, 9772/9817 is
GCF of Numerators i.e. for 1512,9772 is 28
LCM of denominators i.e. for 217,9817 is 2130289.
Thus, GCF of Fractions is 28/2130289.Finally, GCF of Fractions for 1512/217, 9772/9817 is 28/2130289.