Use our free GCF of Fractions Calculator tool to compute the GCF of 994/692, 845/524 i.e 1/90652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/692, 845/524.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/692,845/524
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 994/692,845/524, numerators are 994,845
Denominators are 692,524
The GCF of 994,845 is 1 .
LCM of 692,524 is 90652.
The greatest common factor of 994/692,845/524 = [GCF of 994,845]/[LCM of 692,524]= 1/90652
Therefore, the GCF of 994/692,845/524 is 1/90652.
To find the highest common factor of 994,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 994,845 is 1.
Lets's calculate GCF of 994,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 994,845 . The biggest common factor number is the GCF number.
So the greatest common factor 994,845 is 1.
Lets's calculate LCM of 692,524
2 | 692, 524 |
2 | 346, 262 |
173, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 131 = 90652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90652
Therefore, the GCF of Fractions 994/692,845/524 is 1/90652
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 692,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,524) x common factors =4 x 1 = 4
LCM(692,524) = ( 692 × 524 ) / 4
LCM(692,524) = 362608 / 4
LCM(692,524) = 90652
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 994,845?
The HCF of 994,845 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 994/692, 845/524?
Answer: GCF of Numerators as per given numbers 994/692, 845/524 is
GCF of Numerators i.e. for 994,845 is 1
LCM of denominators i.e. for 692,524 is 90652.
Thus, GCF of Fractions is 1/90652.Finally, GCF of Fractions for 994/692, 845/524 is 1/90652.