Use our free GCF of Fractions Calculator tool to compute the GCF of 1150/737, 4990/6455 i.e 10/4757335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1150/737, 4990/6455.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1150/737,4990/6455
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 1150/737,4990/6455, numerators are 1150,4990
Denominators are 737,6455
The GCF of 1150,4990 is 10 .
LCM of 737,6455 is 4757335.
The greatest common factor of 1150/737,4990/6455 = [GCF of 1150,4990]/[LCM of 737,6455]= 10/4757335
Therefore, the GCF of 1150/737,4990/6455 is 10/4757335.
To find the highest common factor of 1150,4990, we have to find the factors of both numbers and list the highest common factor.
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990
The HCF of 1150,4990 is 10.
Lets's calculate GCF of 1150,4990
2 | 1150, 4990 |
5 | 575, 2495 |
115, 499 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Now, list down the factors of 4990
:1,2,5,10,499,998,2495,4990
Greatest Common Factor
We found the factors 1150,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,4990 is 10.
Lets's calculate LCM of 737,6455
Given numbers has no common factors except 1. So, there LCM is their product i.e 4757335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4757335
Therefore, the GCF of Fractions 1150/737,4990/6455 is 10/4757335
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 737,6455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,6455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,6455) x common factors =1 x 1 = 1
LCM(737,6455) = ( 737 × 6455 ) / 1
LCM(737,6455) = 4757335 / 1
LCM(737,6455) = 4757335
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1150,4990?
The HCF of 1150,4990 is 10
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 1150/737, 4990/6455?
Answer: GCF of Numerators as per given numbers 1150/737, 4990/6455 is
GCF of Numerators i.e. for 1150,4990 is 10
LCM of denominators i.e. for 737,6455 is 4757335.
Thus, GCF of Fractions is 10/4757335.Finally, GCF of Fractions for 1150/737, 4990/6455 is 10/4757335.