GCF of 3410/216, 6397/1917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3410/216, 6397/1917 i.e 1/15336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3410/216, 6397/1917.
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 3410/216,6397/1917?
Given fractions are 3410/216,6397/1917
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 3410/216,6397/1917, numerators are 3410,6397
Denominators are 216,1917
The GCF of 3410,6397 is 1 .
LCM of 216,1917 is 15336.
The greatest common factor of 3410/216,6397/1917 = [GCF of 3410,6397]/[LCM of 216,1917]= 1/15336
Therefore, the GCF of 3410/216,6397/1917 is 1/15336.
To find the highest common factor of 3410,6397, we have to find the factors of both numbers and list the highest common factor.
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The factors of 6397 are 1, 6397
The HCF of 3410,6397 is 1.
Lets's calculate GCF of 3410,6397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3410,6397 By Matching Biggest Common Factor Method
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Now, list down the factors of 6397
:1,6397
Greatest Common Factor
We found the factors 3410,6397 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,6397 is 1.
Lets's calculate LCM of 216,1917
| 3 | 216, 1917 |
| 3 | 72, 639 |
| 3 | 24, 213 |
| 8, 71 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 8 x 71 = 15336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15336
Therefore, the GCF of Fractions 3410/216,6397/1917 is 1/15336
Least Common Multiple of 216,1917 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 216,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,1917) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(216,1917) x common factors =27 x 1 = 27
LCM(216,1917) = ( 216 × 1917 ) / 27
LCM(216,1917) = 414072 / 27
LCM(216,1917) = 15336
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FAQs on GCF of Fractions of 3410/216, 6397/1917
1. What is the HCF of 3410,6397?
The HCF of 3410,6397 is 1
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 3410/216, 6397/1917?
Answer: GCF of Numerators as per given numbers 3410/216, 6397/1917 is
GCF of Numerators i.e. for 3410,6397 is 1
LCM of denominators i.e. for 216,1917 is 15336.
Thus, GCF of Fractions is 1/15336.Finally, GCF of Fractions for 3410/216, 6397/1917 is 1/15336.