Use our free GCF of Fractions Calculator tool to compute the GCF of 953/854, 322/824 i.e 1/351848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 953/854, 322/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 953/854,322/824
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 953/854,322/824, numerators are 953,322
Denominators are 854,824
The GCF of 953,322 is 1 .
LCM of 854,824 is 351848.
The greatest common factor of 953/854,322/824 = [GCF of 953,322]/[LCM of 854,824]= 1/351848
Therefore, the GCF of 953/854,322/824 is 1/351848.
To find the highest common factor of 953,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 953 are 1, 953
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 953,322 is 1.
Lets's calculate GCF of 953,322
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 953
:1,953
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 953,322 . The biggest common factor number is the GCF number.
So the greatest common factor 953,322 is 1.
Lets's calculate LCM of 854,824
2 | 854, 824 |
427, 412 |
∴ So the LCM of the given numbers is 2 x 427 x 412 = 351848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351848
Therefore, the GCF of Fractions 953/854,322/824 is 1/351848
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 854,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,824) x common factors =2 x 1 = 2
LCM(854,824) = ( 854 × 824 ) / 2
LCM(854,824) = 703696 / 2
LCM(854,824) = 351848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 953,322?
The HCF of 953,322 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 953/854, 322/824?
Answer: GCF of Numerators as per given numbers 953/854, 322/824 is
GCF of Numerators i.e. for 953,322 is 1
LCM of denominators i.e. for 854,824 is 351848.
Thus, GCF of Fractions is 1/351848.Finally, GCF of Fractions for 953/854, 322/824 is 1/351848.