Use our free GCF of Fractions Calculator tool to compute the GCF of 21/692, 715/813, 896/916 i.e 1/128834484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/692, 715/813, 896/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/692,715/813,896/916
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 21/692,715/813,896/916, numerators are 21,715,896
Denominators are 692,813,916
The GCF of 21,715,896 is 1 .
LCM of 692,813,916 is 128834484.
The greatest common factor of 21/692,715/813,896/916 = [GCF of 21,715,896]/[LCM of 692,813,916]= 1/128834484
Therefore, the GCF of 21/692,715/813,896/916 is 1/128834484.
To find the highest common factor of 21,715,896, 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 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The HCF of 21,715,896 is 1.
Lets's calculate GCF of 21,715,896
∴ 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 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 21,715,896 . The biggest common factor number is the GCF number.
So the greatest common factor 21,715,896 is 1.
Lets's calculate LCM of 692,813,916
2 | 692, 813, 916 |
2 | 346, 813, 458 |
173, 813, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 813 x 229 = 128834484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128834484
Therefore, the GCF of Fractions 21/692,715/813,896/916 is 1/128834484
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 692,813,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,813,916) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(692,813,916) x common factors =1 x 4 = 4
LCM(692,813,916) = ( 692 × 813 × 916 ) / 4
LCM(692,813,916) = 515337936 / 4
LCM(692,813,916) = 128834484
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,715,896?
The HCF of 21,715,896 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 21/692, 715/813, 896/916?
Answer: GCF of Numerators as per given numbers 21/692, 715/813, 896/916 is
GCF of Numerators i.e. for 21,715,896 is 1
LCM of denominators i.e. for 692,813,916 is 128834484.
Thus, GCF of Fractions is 1/128834484.Finally, GCF of Fractions for 21/692, 715/813, 896/916 is 1/128834484.