Use our free GCF of Fractions Calculator tool to compute the GCF of 94/724, 619/746, 480/184 i.e 1/12422392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/724, 619/746, 480/184.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/724,619/746,480/184
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 94/724,619/746,480/184, numerators are 94,619,480
Denominators are 724,746,184
The GCF of 94,619,480 is 1 .
LCM of 724,746,184 is 12422392.
The greatest common factor of 94/724,619/746,480/184 = [GCF of 94,619,480]/[LCM of 724,746,184]= 1/12422392
Therefore, the GCF of 94/724,619/746,480/184 is 1/12422392.
To find the highest common factor of 94,619,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 619 are 1, 619
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 94,619,480 is 1.
Lets's calculate GCF of 94,619,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 619
:1,619
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 94,619,480 . The biggest common factor number is the GCF number.
So the greatest common factor 94,619,480 is 1.
Lets's calculate LCM of 724,746,184
2 | 724, 746, 184 |
2 | 362, 373, 92 |
181, 373, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 373 x 46 = 12422392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12422392
Therefore, the GCF of Fractions 94/724,619/746,480/184 is 1/12422392
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 724,746,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,746,184) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(724,746,184) x common factors =2 x 4 = 8
LCM(724,746,184) = ( 724 × 746 × 184 ) / 8
LCM(724,746,184) = 99379136 / 8
LCM(724,746,184) = 12422392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,619,480?
The HCF of 94,619,480 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 94/724, 619/746, 480/184?
Answer: GCF of Numerators as per given numbers 94/724, 619/746, 480/184 is
GCF of Numerators i.e. for 94,619,480 is 1
LCM of denominators i.e. for 724,746,184 is 12422392.
Thus, GCF of Fractions is 1/12422392.Finally, GCF of Fractions for 94/724, 619/746, 480/184 is 1/12422392.