GCF of 5368/786, 5797/9170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5368/786, 5797/9170 i.e 11/27510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5368/786, 5797/9170.
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 5368/786,5797/9170?
Given fractions are 5368/786,5797/9170
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 5368/786,5797/9170, numerators are 5368,5797
Denominators are 786,9170
The GCF of 5368,5797 is 11 .
LCM of 786,9170 is 27510.
The greatest common factor of 5368/786,5797/9170 = [GCF of 5368,5797]/[LCM of 786,9170]= 11/27510
Therefore, the GCF of 5368/786,5797/9170 is 11/27510.
To find the highest common factor of 5368,5797, we have to find the factors of both numbers and list the highest common factor.
The factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368
The factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797
The HCF of 5368,5797 is 11.
Lets's calculate GCF of 5368,5797
| 11 | 5368, 5797 |
| 488, 527 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5368,5797 By Matching Biggest Common Factor Method
Now, list down the factors of 5368
:1,2,4,8,11,22,44,61,88,122,244,488,671,1342,2684,5368
Now, list down the factors of 5797
:1,11,17,31,187,341,527,5797
Greatest Common Factor
We found the factors 5368,5797 . The biggest common factor number is the GCF number.
So the greatest common factor 5368,5797 is 11.
Lets's calculate LCM of 786,9170
| 2 | 786, 9170 |
| 131 | 393, 4585 |
| 3, 35 |
∴ So the LCM of the given numbers is 2 x 131 x 3 x 35 = 27510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/27510
Therefore, the GCF of Fractions 5368/786,5797/9170 is 11/27510
Least Common Multiple of 786,9170 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 786,9170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,9170) = 262
common factors(in case of two or more numbers have common factors) = 1
GCF(786,9170) x common factors =262 x 1 = 262
LCM(786,9170) = ( 786 × 9170 ) / 262
LCM(786,9170) = 7207620 / 262
LCM(786,9170) = 27510
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5368/786, 5797/9170
1. What is the HCF of 5368,5797?
The HCF of 5368,5797 is 11
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 5368/786, 5797/9170?
Answer: GCF of Numerators as per given numbers 5368/786, 5797/9170 is
GCF of Numerators i.e. for 5368,5797 is 11
LCM of denominators i.e. for 786,9170 is 27510.
Thus, GCF of Fractions is 11/27510.Finally, GCF of Fractions for 5368/786, 5797/9170 is 11/27510.