GCF of 5192/140, 3842/1080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5192/140, 3842/1080 i.e 2/7560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5192/140, 3842/1080.
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 5192/140,3842/1080?
Given fractions are 5192/140,3842/1080
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 5192/140,3842/1080, numerators are 5192,3842
Denominators are 140,1080
The GCF of 5192,3842 is 2 .
LCM of 140,1080 is 7560.
The greatest common factor of 5192/140,3842/1080 = [GCF of 5192,3842]/[LCM of 140,1080]= 2/7560
Therefore, the GCF of 5192/140,3842/1080 is 2/7560.
To find the highest common factor of 5192,3842, we have to find the factors of both numbers and list the highest common factor.
The factors of 5192 are 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192
The factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842
The HCF of 5192,3842 is 2.
Lets's calculate GCF of 5192,3842
| 2 | 5192, 3842 |
| 2596, 1921 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5192,3842 By Matching Biggest Common Factor Method
Now, list down the factors of 5192
:1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192
Now, list down the factors of 3842
:1,2,17,34,113,226,1921,3842
Greatest Common Factor
We found the factors 5192,3842 . The biggest common factor number is the GCF number.
So the greatest common factor 5192,3842 is 2.
Lets's calculate LCM of 140,1080
| 2 | 140, 1080 |
| 2 | 70, 540 |
| 5 | 35, 270 |
| 7, 54 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 54 = 7560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7560
Therefore, the GCF of Fractions 5192/140,3842/1080 is 2/7560
Least Common Multiple of 140,1080 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 140,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,1080) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(140,1080) x common factors =20 x 1 = 20
LCM(140,1080) = ( 140 × 1080 ) / 20
LCM(140,1080) = 151200 / 20
LCM(140,1080) = 7560
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5192/140, 3842/1080
1. What is the HCF of 5192,3842?
The HCF of 5192,3842 is 2
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 5192/140, 3842/1080?
Answer: GCF of Numerators as per given numbers 5192/140, 3842/1080 is
GCF of Numerators i.e. for 5192,3842 is 2
LCM of denominators i.e. for 140,1080 is 7560.
Thus, GCF of Fractions is 2/7560.Finally, GCF of Fractions for 5192/140, 3842/1080 is 2/7560.