Use our free GCF of Fractions Calculator tool to compute the GCF of 7/22, 28/82, 21/833, 697/932 i.e 1/350136556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/22, 28/82, 21/833, 697/932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/22,28/82,21/833,697/932
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 7/22,28/82,21/833,697/932, numerators are 7,28,21,697
Denominators are 22,82,833,932
The GCF of 7,28,21,697 is 1 .
LCM of 22,82,833,932 is 350136556.
The greatest common factor of 7/22,28/82,21/833,697/932 = [GCF of 7,28,21,697]/[LCM of 22,82,833,932]= 1/350136556
Therefore, the GCF of 7/22,28/82,21/833,697/932 is 1/350136556.
To find the highest common factor of 7,28,21,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 21 are 1, 3, 7, 21
The factors of 697 are 1, 17, 41, 697
The HCF of 7,28,21,697 is 1.
Lets's calculate GCF of 7,28,21,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7
:1,7
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 7,28,21,697 . The biggest common factor number is the GCF number.
So the greatest common factor 7,28,21,697 is 1.
Lets's calculate LCM of 22,82,833,932
2 | 22, 82, 833, 932 |
11, 41, 833, 466 |
∴ So the LCM of the given numbers is 2 x 11 x 41 x 833 x 466 = 350136556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350136556
Therefore, the GCF of Fractions 7/22,28/82,21/833,697/932 is 1/350136556
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 22,82,833,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,82,833,932) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(22,82,833,932) x common factors =1 x 4 = 4
LCM(22,82,833,932) = ( 22 × 82 × 833 × 932 ) / 4
LCM(22,82,833,932) = 1400546224 / 4
LCM(22,82,833,932) = 350136556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7,28,21,697?
The HCF of 7,28,21,697 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 7/22, 28/82, 21/833, 697/932?
Answer: GCF of Numerators as per given numbers 7/22, 28/82, 21/833, 697/932 is
GCF of Numerators i.e. for 7,28,21,697 is 1
LCM of denominators i.e. for 22,82,833,932 is 350136556.
Thus, GCF of Fractions is 1/350136556.Finally, GCF of Fractions for 7/22, 28/82, 21/833, 697/932 is 1/350136556.