GCF of 3124/542, 8149/8722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3124/542, 8149/8722 i.e 1/2363662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3124/542, 8149/8722.
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 3124/542,8149/8722?
Given fractions are 3124/542,8149/8722
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 3124/542,8149/8722, numerators are 3124,8149
Denominators are 542,8722
The GCF of 3124,8149 is 1 .
LCM of 542,8722 is 2363662.
The greatest common factor of 3124/542,8149/8722 = [GCF of 3124,8149]/[LCM of 542,8722]= 1/2363662
Therefore, the GCF of 3124/542,8149/8722 is 1/2363662.
To find the highest common factor of 3124,8149, we have to find the factors of both numbers and list the highest common factor.
The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
The factors of 8149 are 1, 29, 281, 8149
The HCF of 3124,8149 is 1.
Lets's calculate GCF of 3124,8149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3124,8149 By Matching Biggest Common Factor Method
Now, list down the factors of 3124
:1,2,4,11,22,44,71,142,284,781,1562,3124
Now, list down the factors of 8149
:1,29,281,8149
Greatest Common Factor
We found the factors 3124,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,8149 is 1.
Lets's calculate LCM of 542,8722
| 2 | 542, 8722 |
| 271, 4361 |
∴ So the LCM of the given numbers is 2 x 271 x 4361 = 2363662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2363662
Therefore, the GCF of Fractions 3124/542,8149/8722 is 1/2363662
Least Common Multiple of 542,8722 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 542,8722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,8722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,8722) x common factors =2 x 1 = 2
LCM(542,8722) = ( 542 × 8722 ) / 2
LCM(542,8722) = 4727324 / 2
LCM(542,8722) = 2363662
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3124/542, 8149/8722
1. What is the HCF of 3124,8149?
The HCF of 3124,8149 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 3124/542, 8149/8722?
Answer: GCF of Numerators as per given numbers 3124/542, 8149/8722 is
GCF of Numerators i.e. for 3124,8149 is 1
LCM of denominators i.e. for 542,8722 is 2363662.
Thus, GCF of Fractions is 1/2363662.Finally, GCF of Fractions for 3124/542, 8149/8722 is 1/2363662.