Use our free GCF of Fractions Calculator tool to compute the GCF of 4749/253, 7770/6296 i.e 3/1592888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4749/253, 7770/6296.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4749/253,7770/6296
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 4749/253,7770/6296, numerators are 4749,7770
Denominators are 253,6296
The GCF of 4749,7770 is 3 .
LCM of 253,6296 is 1592888.
The greatest common factor of 4749/253,7770/6296 = [GCF of 4749,7770]/[LCM of 253,6296]= 3/1592888
Therefore, the GCF of 4749/253,7770/6296 is 3/1592888.
To find the highest common factor of 4749,7770, we have to find the factors of both numbers and list the highest common factor.
The factors of 4749 are 1, 3, 1583, 4749
The factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770
The HCF of 4749,7770 is 3.
Lets's calculate GCF of 4749,7770
3 | 4749, 7770 |
1583, 2590 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 4749
:1,3,1583,4749
Now, list down the factors of 7770
:1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Greatest Common Factor
We found the factors 4749,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 4749,7770 is 3.
Lets's calculate LCM of 253,6296
Given numbers has no common factors except 1. So, there LCM is their product i.e 1592888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1592888
Therefore, the GCF of Fractions 4749/253,7770/6296 is 3/1592888
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 253,6296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,6296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,6296) x common factors =1 x 1 = 1
LCM(253,6296) = ( 253 × 6296 ) / 1
LCM(253,6296) = 1592888 / 1
LCM(253,6296) = 1592888
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4749,7770?
The HCF of 4749,7770 is 3
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 4749/253, 7770/6296?
Answer: GCF of Numerators as per given numbers 4749/253, 7770/6296 is
GCF of Numerators i.e. for 4749,7770 is 3
LCM of denominators i.e. for 253,6296 is 1592888.
Thus, GCF of Fractions is 3/1592888.Finally, GCF of Fractions for 4749/253, 7770/6296 is 3/1592888.