Use our free GCF of Fractions Calculator tool to compute the GCF of 21/824, 75/365, 940/717 i.e 1/215644920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/824, 75/365, 940/717.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/824,75/365,940/717
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 21/824,75/365,940/717, numerators are 21,75,940
Denominators are 824,365,717
The GCF of 21,75,940 is 1 .
LCM of 824,365,717 is 215644920.
The greatest common factor of 21/824,75/365,940/717 = [GCF of 21,75,940]/[LCM of 824,365,717]= 1/215644920
Therefore, the GCF of 21/824,75/365,940/717 is 1/215644920.
To find the highest common factor of 21,75,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 21,75,940 is 1.
Lets's calculate GCF of 21,75,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 21,75,940 . The biggest common factor number is the GCF number.
So the greatest common factor 21,75,940 is 1.
Lets's calculate LCM of 824,365,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 215644920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215644920
Therefore, the GCF of Fractions 21/824,75/365,940/717 is 1/215644920
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 824,365,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,365,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,365,717) x common factors =1 x 1 = 1
LCM(824,365,717) = ( 824 × 365 × 717 ) / 1
LCM(824,365,717) = 215644920 / 1
LCM(824,365,717) = 215644920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,75,940?
The HCF of 21,75,940 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 21/824, 75/365, 940/717?
Answer: GCF of Numerators as per given numbers 21/824, 75/365, 940/717 is
GCF of Numerators i.e. for 21,75,940 is 1
LCM of denominators i.e. for 824,365,717 is 215644920.
Thus, GCF of Fractions is 1/215644920.Finally, GCF of Fractions for 21/824, 75/365, 940/717 is 1/215644920.