Use our free GCF of Fractions Calculator tool to compute the GCF of 38/529, 856/423, 460/356 i.e 2/79661052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/529, 856/423, 460/356.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/529,856/423,460/356
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 38/529,856/423,460/356, numerators are 38,856,460
Denominators are 529,423,356
The GCF of 38,856,460 is 2 .
LCM of 529,423,356 is 79661052.
The greatest common factor of 38/529,856/423,460/356 = [GCF of 38,856,460]/[LCM of 529,423,356]= 2/79661052
Therefore, the GCF of 38/529,856/423,460/356 is 2/79661052.
To find the highest common factor of 38,856,460, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 38,856,460 is 2.
Lets's calculate GCF of 38,856,460
2 | 38, 856, 460 |
19, 428, 230 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 38,856,460 . The biggest common factor number is the GCF number.
So the greatest common factor 38,856,460 is 2.
Lets's calculate LCM of 529,423,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 79661052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79661052
Therefore, the GCF of Fractions 38/529,856/423,460/356 is 2/79661052
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 529,423,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,423,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,423,356) x common factors =1 x 1 = 1
LCM(529,423,356) = ( 529 × 423 × 356 ) / 1
LCM(529,423,356) = 79661052 / 1
LCM(529,423,356) = 79661052
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,856,460?
The HCF of 38,856,460 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 38/529, 856/423, 460/356?
Answer: GCF of Numerators as per given numbers 38/529, 856/423, 460/356 is
GCF of Numerators i.e. for 38,856,460 is 2
LCM of denominators i.e. for 529,423,356 is 79661052.
Thus, GCF of Fractions is 2/79661052.Finally, GCF of Fractions for 38/529, 856/423, 460/356 is 2/79661052.