GCF of 9139/337, 6840/5514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9139/337, 6840/5514 i.e 19/1858218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9139/337, 6840/5514.
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 9139/337,6840/5514?
Given fractions are 9139/337,6840/5514
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 9139/337,6840/5514, numerators are 9139,6840
Denominators are 337,5514
The GCF of 9139,6840 is 19 .
LCM of 337,5514 is 1858218.
The greatest common factor of 9139/337,6840/5514 = [GCF of 9139,6840]/[LCM of 337,5514]= 19/1858218
Therefore, the GCF of 9139/337,6840/5514 is 19/1858218.
To find the highest common factor of 9139,6840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139
The factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840
The HCF of 9139,6840 is 19.
Lets's calculate GCF of 9139,6840
| 19 | 9139, 6840 |
| 481, 360 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 9139,6840 By Matching Biggest Common Factor Method
Now, list down the factors of 9139
:1,13,19,37,247,481,703,9139
Now, list down the factors of 6840
:1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840
Greatest Common Factor
We found the factors 9139,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 9139,6840 is 19.
Lets's calculate LCM of 337,5514
Given numbers has no common factors except 1. So, there LCM is their product i.e 1858218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1858218
Therefore, the GCF of Fractions 9139/337,6840/5514 is 19/1858218
Least Common Multiple of 337,5514 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 337,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,5514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,5514) x common factors =1 x 1 = 1
LCM(337,5514) = ( 337 × 5514 ) / 1
LCM(337,5514) = 1858218 / 1
LCM(337,5514) = 1858218
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9139/337, 6840/5514
1. What is the HCF of 9139,6840?
The HCF of 9139,6840 is 19
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 9139/337, 6840/5514?
Answer: GCF of Numerators as per given numbers 9139/337, 6840/5514 is
GCF of Numerators i.e. for 9139,6840 is 19
LCM of denominators i.e. for 337,5514 is 1858218.
Thus, GCF of Fractions is 19/1858218.Finally, GCF of Fractions for 9139/337, 6840/5514 is 19/1858218.