GCF of 5349/368, 3097/5920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5349/368, 3097/5920 i.e 1/136160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5349/368, 3097/5920.
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 5349/368,3097/5920?
Given fractions are 5349/368,3097/5920
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 5349/368,3097/5920, numerators are 5349,3097
Denominators are 368,5920
The GCF of 5349,3097 is 1 .
LCM of 368,5920 is 136160.
The greatest common factor of 5349/368,3097/5920 = [GCF of 5349,3097]/[LCM of 368,5920]= 1/136160
Therefore, the GCF of 5349/368,3097/5920 is 1/136160.
To find the highest common factor of 5349,3097, we have to find the factors of both numbers and list the highest common factor.
The factors of 5349 are 1, 3, 1783, 5349
The factors of 3097 are 1, 19, 163, 3097
The HCF of 5349,3097 is 1.
Lets's calculate GCF of 5349,3097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5349,3097 By Matching Biggest Common Factor Method
Now, list down the factors of 5349
:1,3,1783,5349
Now, list down the factors of 3097
:1,19,163,3097
Greatest Common Factor
We found the factors 5349,3097 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,3097 is 1.
Lets's calculate LCM of 368,5920
| 2 | 368, 5920 |
| 2 | 184, 2960 |
| 2 | 92, 1480 |
| 2 | 46, 740 |
| 23, 370 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 370 = 136160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136160
Therefore, the GCF of Fractions 5349/368,3097/5920 is 1/136160
Least Common Multiple of 368,5920 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 368,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,5920) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(368,5920) x common factors =16 x 1 = 16
LCM(368,5920) = ( 368 × 5920 ) / 16
LCM(368,5920) = 2178560 / 16
LCM(368,5920) = 136160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5349/368, 3097/5920
1. What is the HCF of 5349,3097?
The HCF of 5349,3097 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 5349/368, 3097/5920?
Answer: GCF of Numerators as per given numbers 5349/368, 3097/5920 is
GCF of Numerators i.e. for 5349,3097 is 1
LCM of denominators i.e. for 368,5920 is 136160.
Thus, GCF of Fractions is 1/136160.Finally, GCF of Fractions for 5349/368, 3097/5920 is 1/136160.