Use our free GCF of Fractions Calculator tool to compute the GCF of 21/694, 188/854, 334/532 i.e 1/11260844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/694, 188/854, 334/532.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/694,188/854,334/532
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 21/694,188/854,334/532, numerators are 21,188,334
Denominators are 694,854,532
The GCF of 21,188,334 is 1 .
LCM of 694,854,532 is 11260844.
The greatest common factor of 21/694,188/854,334/532 = [GCF of 21,188,334]/[LCM of 694,854,532]= 1/11260844
Therefore, the GCF of 21/694,188/854,334/532 is 1/11260844.
To find the highest common factor of 21,188,334, 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 188 are 1, 2, 4, 47, 94, 188
The factors of 334 are 1, 2, 167, 334
The HCF of 21,188,334 is 1.
Lets's calculate GCF of 21,188,334
∴ 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 188
:1,2,4,47,94,188
Now, list down the factors of 334
:1,2,167,334
Greatest Common Factor
We found the factors 21,188,334 . The biggest common factor number is the GCF number.
So the greatest common factor 21,188,334 is 1.
Lets's calculate LCM of 694,854,532
2 | 694, 854, 532 |
7 | 347, 427, 266 |
347, 61, 38 |
∴ So the LCM of the given numbers is 2 x 7 x 347 x 61 x 38 = 11260844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11260844
Therefore, the GCF of Fractions 21/694,188/854,334/532 is 1/11260844
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 694,854,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,854,532) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(694,854,532) x common factors =2 x 14 = 28
LCM(694,854,532) = ( 694 × 854 × 532 ) / 28
LCM(694,854,532) = 315303632 / 28
LCM(694,854,532) = 11260844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,188,334?
The HCF of 21,188,334 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 21/694, 188/854, 334/532?
Answer: GCF of Numerators as per given numbers 21/694, 188/854, 334/532 is
GCF of Numerators i.e. for 21,188,334 is 1
LCM of denominators i.e. for 694,854,532 is 11260844.
Thus, GCF of Fractions is 1/11260844.Finally, GCF of Fractions for 21/694, 188/854, 334/532 is 1/11260844.