Use our free GCF of Fractions Calculator tool to compute the GCF of 437/284, 785/176 i.e 1/12496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/284, 785/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 437/284,785/176
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 437/284,785/176, numerators are 437,785
Denominators are 284,176
The GCF of 437,785 is 1 .
LCM of 284,176 is 12496.
The greatest common factor of 437/284,785/176 = [GCF of 437,785]/[LCM of 284,176]= 1/12496
Therefore, the GCF of 437/284,785/176 is 1/12496.
To find the highest common factor of 437,785, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 785 are 1, 5, 157, 785
The HCF of 437,785 is 1.
Lets's calculate GCF of 437,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 785
:1,5,157,785
Greatest Common Factor
We found the factors 437,785 . The biggest common factor number is the GCF number.
So the greatest common factor 437,785 is 1.
Lets's calculate LCM of 284,176
2 | 284, 176 |
2 | 142, 88 |
71, 44 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 44 = 12496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12496
Therefore, the GCF of Fractions 437/284,785/176 is 1/12496
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 284,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,176) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,176) x common factors =4 x 1 = 4
LCM(284,176) = ( 284 × 176 ) / 4
LCM(284,176) = 49984 / 4
LCM(284,176) = 12496
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 437,785?
The HCF of 437,785 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 437/284, 785/176?
Answer: GCF of Numerators as per given numbers 437/284, 785/176 is
GCF of Numerators i.e. for 437,785 is 1
LCM of denominators i.e. for 284,176 is 12496.
Thus, GCF of Fractions is 1/12496.Finally, GCF of Fractions for 437/284, 785/176 is 1/12496.