Use our free GCF of Fractions Calculator tool to compute the GCF of 38/83, 946/75, 687/603 i.e 1/1251225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/83, 946/75, 687/603.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/83,946/75,687/603
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 38/83,946/75,687/603, numerators are 38,946,687
Denominators are 83,75,603
The GCF of 38,946,687 is 1 .
LCM of 83,75,603 is 1251225.
The greatest common factor of 38/83,946/75,687/603 = [GCF of 38,946,687]/[LCM of 83,75,603]= 1/1251225
Therefore, the GCF of 38/83,946/75,687/603 is 1/1251225.
To find the highest common factor of 38,946,687, 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 946 are 1, 2, 11, 22, 43, 86, 473, 946
The factors of 687 are 1, 3, 229, 687
The HCF of 38,946,687 is 1.
Lets's calculate GCF of 38,946,687
∴ 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 946
:1,2,11,22,43,86,473,946
Now, list down the factors of 687
:1,3,229,687
Greatest Common Factor
We found the factors 38,946,687 . The biggest common factor number is the GCF number.
So the greatest common factor 38,946,687 is 1.
Lets's calculate LCM of 83,75,603
3 | 83, 75, 603 |
83, 25, 201 |
∴ So the LCM of the given numbers is 3 x 83 x 25 x 201 = 1251225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1251225
Therefore, the GCF of Fractions 38/83,946/75,687/603 is 1/1251225
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 83,75,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,75,603) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(83,75,603) x common factors =1 x 3 = 3
LCM(83,75,603) = ( 83 × 75 × 603 ) / 3
LCM(83,75,603) = 3753675 / 3
LCM(83,75,603) = 1251225
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,946,687?
The HCF of 38,946,687 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 38/83, 946/75, 687/603?
Answer: GCF of Numerators as per given numbers 38/83, 946/75, 687/603 is
GCF of Numerators i.e. for 38,946,687 is 1
LCM of denominators i.e. for 83,75,603 is 1251225.
Thus, GCF of Fractions is 1/1251225.Finally, GCF of Fractions for 38/83, 946/75, 687/603 is 1/1251225.