GCF of 8397/190, 5217/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8397/190, 5217/380 i.e 3/380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8397/190, 5217/380.
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 8397/190,5217/380?
Given fractions are 8397/190,5217/380
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 8397/190,5217/380, numerators are 8397,5217
Denominators are 190,380
The GCF of 8397,5217 is 3 .
LCM of 190,380 is 380.
The greatest common factor of 8397/190,5217/380 = [GCF of 8397,5217]/[LCM of 190,380]= 3/380
Therefore, the GCF of 8397/190,5217/380 is 3/380.
To find the highest common factor of 8397,5217, we have to find the factors of both numbers and list the highest common factor.
The factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The HCF of 8397,5217 is 3.
Lets's calculate GCF of 8397,5217
| 3 | 8397, 5217 |
| 2799, 1739 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8397,5217 By Matching Biggest Common Factor Method
Now, list down the factors of 8397
:1,3,9,27,311,933,2799,8397
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
Greatest Common Factor
We found the factors 8397,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 8397,5217 is 3.
Lets's calculate LCM of 190,380
| 2 | 190, 380 |
| 5 | 95, 190 |
| 19 | 19, 38 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 2 = 380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/380
Therefore, the GCF of Fractions 8397/190,5217/380 is 3/380
Least Common Multiple of 190,380 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 190,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,380) = 190
common factors(in case of two or more numbers have common factors) = 1
GCF(190,380) x common factors =190 x 1 = 190
LCM(190,380) = ( 190 × 380 ) / 190
LCM(190,380) = 72200 / 190
LCM(190,380) = 380
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FAQs on GCF of Fractions of 8397/190, 5217/380
1. What is the HCF of 8397,5217?
The HCF of 8397,5217 is 3
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 8397/190, 5217/380?
Answer: GCF of Numerators as per given numbers 8397/190, 5217/380 is
GCF of Numerators i.e. for 8397,5217 is 3
LCM of denominators i.e. for 190,380 is 380.
Thus, GCF of Fractions is 3/380.Finally, GCF of Fractions for 8397/190, 5217/380 is 3/380.