GCF of 6050/549, 8711/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6050/549, 8711/486 i.e 1/29646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6050/549, 8711/486.
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 6050/549,8711/486?
Given fractions are 6050/549,8711/486
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 6050/549,8711/486, numerators are 6050,8711
Denominators are 549,486
The GCF of 6050,8711 is 1 .
LCM of 549,486 is 29646.
The greatest common factor of 6050/549,8711/486 = [GCF of 6050,8711]/[LCM of 549,486]= 1/29646
Therefore, the GCF of 6050/549,8711/486 is 1/29646.
To find the highest common factor of 6050,8711, we have to find the factors of both numbers and list the highest common factor.
The factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050
The factors of 8711 are 1, 31, 281, 8711
The HCF of 6050,8711 is 1.
Lets's calculate GCF of 6050,8711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6050,8711 By Matching Biggest Common Factor Method
Now, list down the factors of 6050
:1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050
Now, list down the factors of 8711
:1,31,281,8711
Greatest Common Factor
We found the factors 6050,8711 . The biggest common factor number is the GCF number.
So the greatest common factor 6050,8711 is 1.
Lets's calculate LCM of 549,486
| 3 | 549, 486 |
| 3 | 183, 162 |
| 61, 54 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 54 = 29646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29646
Therefore, the GCF of Fractions 6050/549,8711/486 is 1/29646
Least Common Multiple of 549,486 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 549,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,486) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(549,486) x common factors =9 x 1 = 9
LCM(549,486) = ( 549 × 486 ) / 9
LCM(549,486) = 266814 / 9
LCM(549,486) = 29646
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6050/549, 8711/486
1. What is the HCF of 6050,8711?
The HCF of 6050,8711 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 6050/549, 8711/486?
Answer: GCF of Numerators as per given numbers 6050/549, 8711/486 is
GCF of Numerators i.e. for 6050,8711 is 1
LCM of denominators i.e. for 549,486 is 29646.
Thus, GCF of Fractions is 1/29646.Finally, GCF of Fractions for 6050/549, 8711/486 is 1/29646.