Use our free GCF of Fractions Calculator tool to compute the GCF of 4936/469, 6069/6540 i.e 1/3067260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/469, 6069/6540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4936/469,6069/6540
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 4936/469,6069/6540, numerators are 4936,6069
Denominators are 469,6540
The GCF of 4936,6069 is 1 .
LCM of 469,6540 is 3067260.
The greatest common factor of 4936/469,6069/6540 = [GCF of 4936,6069]/[LCM of 469,6540]= 1/3067260
Therefore, the GCF of 4936/469,6069/6540 is 1/3067260.
To find the highest common factor of 4936,6069, 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 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The HCF of 4936,6069 is 1.
Lets's calculate GCF of 4936,6069
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Greatest Common Factor
We found the factors 4936,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,6069 is 1.
Lets's calculate LCM of 469,6540
Given numbers has no common factors except 1. So, there LCM is their product i.e 3067260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3067260
Therefore, the GCF of Fractions 4936/469,6069/6540 is 1/3067260
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 469,6540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,6540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,6540) x common factors =1 x 1 = 1
LCM(469,6540) = ( 469 × 6540 ) / 1
LCM(469,6540) = 3067260 / 1
LCM(469,6540) = 3067260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4936,6069?
The HCF of 4936,6069 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 4936/469, 6069/6540?
Answer: GCF of Numerators as per given numbers 4936/469, 6069/6540 is
GCF of Numerators i.e. for 4936,6069 is 1
LCM of denominators i.e. for 469,6540 is 3067260.
Thus, GCF of Fractions is 1/3067260.Finally, GCF of Fractions for 4936/469, 6069/6540 is 1/3067260.