Use our free GCF of Fractions Calculator tool to compute the GCF of 38/66, 925/82, 980/442 i.e 1/598026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/66, 925/82, 980/442.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/66,925/82,980/442
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 38/66,925/82,980/442, numerators are 38,925,980
Denominators are 66,82,442
The GCF of 38,925,980 is 1 .
LCM of 66,82,442 is 598026.
The greatest common factor of 38/66,925/82,980/442 = [GCF of 38,925,980]/[LCM of 66,82,442]= 1/598026
Therefore, the GCF of 38/66,925/82,980/442 is 1/598026.
To find the highest common factor of 38,925,980, 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 925 are 1, 5, 25, 37, 185, 925
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The HCF of 38,925,980 is 1.
Lets's calculate GCF of 38,925,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 38,925,980 . The biggest common factor number is the GCF number.
So the greatest common factor 38,925,980 is 1.
Lets's calculate LCM of 66,82,442
2 | 66, 82, 442 |
33, 41, 221 |
∴ So the LCM of the given numbers is 2 x 33 x 41 x 221 = 598026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598026
Therefore, the GCF of Fractions 38/66,925/82,980/442 is 1/598026
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 66,82,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,82,442) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,82,442) x common factors =2 x 2 = 4
LCM(66,82,442) = ( 66 × 82 × 442 ) / 4
LCM(66,82,442) = 2392104 / 4
LCM(66,82,442) = 598026
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,925,980?
The HCF of 38,925,980 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 38/66, 925/82, 980/442?
Answer: GCF of Numerators as per given numbers 38/66, 925/82, 980/442 is
GCF of Numerators i.e. for 38,925,980 is 1
LCM of denominators i.e. for 66,82,442 is 598026.
Thus, GCF of Fractions is 1/598026.Finally, GCF of Fractions for 38/66, 925/82, 980/442 is 1/598026.