GCF of 4936/542, 9300/3121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4936/542, 9300/3121 i.e 4/1691582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/542, 9300/3121.
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 4936/542,9300/3121?
Given fractions are 4936/542,9300/3121
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 4936/542,9300/3121, numerators are 4936,9300
Denominators are 542,3121
The GCF of 4936,9300 is 4 .
LCM of 542,3121 is 1691582.
The greatest common factor of 4936/542,9300/3121 = [GCF of 4936,9300]/[LCM of 542,3121]= 4/1691582
Therefore, the GCF of 4936/542,9300/3121 is 4/1691582.
To find the highest common factor of 4936,9300, we have to find the factors of both numbers and list the highest common factor.
The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The HCF of 4936,9300 is 4.
Lets's calculate GCF of 4936,9300
| 2 | 4936, 9300 |
| 2 | 2468, 4650 |
| 1234, 2325 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4936,9300 By Matching Biggest Common Factor Method
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Greatest Common Factor
We found the factors 4936,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,9300 is 4.
Lets's calculate LCM of 542,3121
Given numbers has no common factors except 1. So, there LCM is their product i.e 1691582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1691582
Therefore, the GCF of Fractions 4936/542,9300/3121 is 4/1691582
Least Common Multiple of 542,3121 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 542,3121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,3121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,3121) x common factors =1 x 1 = 1
LCM(542,3121) = ( 542 × 3121 ) / 1
LCM(542,3121) = 1691582 / 1
LCM(542,3121) = 1691582
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4936/542, 9300/3121
1. What is the HCF of 4936,9300?
The HCF of 4936,9300 is 4
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 4936/542, 9300/3121?
Answer: GCF of Numerators as per given numbers 4936/542, 9300/3121 is
GCF of Numerators i.e. for 4936,9300 is 4
LCM of denominators i.e. for 542,3121 is 1691582.
Thus, GCF of Fractions is 4/1691582.Finally, GCF of Fractions for 4936/542, 9300/3121 is 4/1691582.