Use our free GCF of Fractions Calculator tool to compute the GCF of 7414/483, 7450/2704 i.e 2/1306032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7414/483, 7450/2704.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7414/483,7450/2704
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 7414/483,7450/2704, numerators are 7414,7450
Denominators are 483,2704
The GCF of 7414,7450 is 2 .
LCM of 483,2704 is 1306032.
The greatest common factor of 7414/483,7450/2704 = [GCF of 7414,7450]/[LCM of 483,2704]= 2/1306032
Therefore, the GCF of 7414/483,7450/2704 is 2/1306032.
To find the highest common factor of 7414,7450, we have to find the factors of both numbers and list the highest common factor.
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The HCF of 7414,7450 is 2.
Lets's calculate GCF of 7414,7450
2 | 7414, 7450 |
3707, 3725 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Greatest Common Factor
We found the factors 7414,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 7414,7450 is 2.
Lets's calculate LCM of 483,2704
Given numbers has no common factors except 1. So, there LCM is their product i.e 1306032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1306032
Therefore, the GCF of Fractions 7414/483,7450/2704 is 2/1306032
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 483,2704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,2704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,2704) x common factors =1 x 1 = 1
LCM(483,2704) = ( 483 × 2704 ) / 1
LCM(483,2704) = 1306032 / 1
LCM(483,2704) = 1306032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7414,7450?
The HCF of 7414,7450 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 7414/483, 7450/2704?
Answer: GCF of Numerators as per given numbers 7414/483, 7450/2704 is
GCF of Numerators i.e. for 7414,7450 is 2
LCM of denominators i.e. for 483,2704 is 1306032.
Thus, GCF of Fractions is 2/1306032.Finally, GCF of Fractions for 7414/483, 7450/2704 is 2/1306032.