GCF of 1717/156, 3232/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1717/156, 3232/912 i.e 101/11856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1717/156, 3232/912.
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 1717/156,3232/912?
Given fractions are 1717/156,3232/912
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 1717/156,3232/912, numerators are 1717,3232
Denominators are 156,912
The GCF of 1717,3232 is 101 .
LCM of 156,912 is 11856.
The greatest common factor of 1717/156,3232/912 = [GCF of 1717,3232]/[LCM of 156,912]= 101/11856
Therefore, the GCF of 1717/156,3232/912 is 101/11856.
To find the highest common factor of 1717,3232, we have to find the factors of both numbers and list the highest common factor.
The factors of 1717 are 1, 17, 101, 1717
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The HCF of 1717,3232 is 101.
Lets's calculate GCF of 1717,3232
| 101 | 1717, 3232 |
| 17, 32 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 1717,3232 By Matching Biggest Common Factor Method
Now, list down the factors of 1717
:1,17,101,1717
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Greatest Common Factor
We found the factors 1717,3232 . The biggest common factor number is the GCF number.
So the greatest common factor 1717,3232 is 101.
Lets's calculate LCM of 156,912
| 2 | 156, 912 |
| 2 | 78, 456 |
| 3 | 39, 228 |
| 13, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 76 = 11856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/11856
Therefore, the GCF of Fractions 1717/156,3232/912 is 101/11856
Least Common Multiple of 156,912 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 156,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,912) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(156,912) x common factors =12 x 1 = 12
LCM(156,912) = ( 156 × 912 ) / 12
LCM(156,912) = 142272 / 12
LCM(156,912) = 11856
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FAQs on GCF of Fractions of 1717/156, 3232/912
1. What is the HCF of 1717,3232?
The HCF of 1717,3232 is 101
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 1717/156, 3232/912?
Answer: GCF of Numerators as per given numbers 1717/156, 3232/912 is
GCF of Numerators i.e. for 1717,3232 is 101
LCM of denominators i.e. for 156,912 is 11856.
Thus, GCF of Fractions is 101/11856.Finally, GCF of Fractions for 1717/156, 3232/912 is 101/11856.