Use our free GCF of Fractions Calculator tool to compute the GCF of 6020/484, 1206/7819 i.e 2/3784396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6020/484, 1206/7819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6020/484,1206/7819
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 6020/484,1206/7819, numerators are 6020,1206
Denominators are 484,7819
The GCF of 6020,1206 is 2 .
LCM of 484,7819 is 3784396.
The greatest common factor of 6020/484,1206/7819 = [GCF of 6020,1206]/[LCM of 484,7819]= 2/3784396
Therefore, the GCF of 6020/484,1206/7819 is 2/3784396.
To find the highest common factor of 6020,1206, we have to find the factors of both numbers and list the highest common factor.
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The HCF of 6020,1206 is 2.
Lets's calculate GCF of 6020,1206
2 | 6020, 1206 |
3010, 603 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Now, list down the factors of 1206
:1,2,3,6,9,18,67,134,201,402,603,1206
Greatest Common Factor
We found the factors 6020,1206 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,1206 is 2.
Lets's calculate LCM of 484,7819
Given numbers has no common factors except 1. So, there LCM is their product i.e 3784396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3784396
Therefore, the GCF of Fractions 6020/484,1206/7819 is 2/3784396
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 484,7819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,7819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,7819) x common factors =1 x 1 = 1
LCM(484,7819) = ( 484 × 7819 ) / 1
LCM(484,7819) = 3784396 / 1
LCM(484,7819) = 3784396
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6020,1206?
The HCF of 6020,1206 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 6020/484, 1206/7819?
Answer: GCF of Numerators as per given numbers 6020/484, 1206/7819 is
GCF of Numerators i.e. for 6020,1206 is 2
LCM of denominators i.e. for 484,7819 is 3784396.
Thus, GCF of Fractions is 2/3784396.Finally, GCF of Fractions for 6020/484, 1206/7819 is 2/3784396.