Use our free GCF of Fractions Calculator tool to compute the GCF of 851/894, 774/974 i.e 1/435378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/894, 774/974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/894,774/974
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 851/894,774/974, numerators are 851,774
Denominators are 894,974
The GCF of 851,774 is 1 .
LCM of 894,974 is 435378.
The greatest common factor of 851/894,774/974 = [GCF of 851,774]/[LCM of 894,974]= 1/435378
Therefore, the GCF of 851/894,774/974 is 1/435378.
To find the highest common factor of 851,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 851,774 is 1.
Lets's calculate GCF of 851,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 851,774 . The biggest common factor number is the GCF number.
So the greatest common factor 851,774 is 1.
Lets's calculate LCM of 894,974
2 | 894, 974 |
447, 487 |
∴ So the LCM of the given numbers is 2 x 447 x 487 = 435378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435378
Therefore, the GCF of Fractions 851/894,774/974 is 1/435378
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 894,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,974) x common factors =2 x 1 = 2
LCM(894,974) = ( 894 × 974 ) / 2
LCM(894,974) = 870756 / 2
LCM(894,974) = 435378
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 851,774?
The HCF of 851,774 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 851/894, 774/974?
Answer: GCF of Numerators as per given numbers 851/894, 774/974 is
GCF of Numerators i.e. for 851,774 is 1
LCM of denominators i.e. for 894,974 is 435378.
Thus, GCF of Fractions is 1/435378.Finally, GCF of Fractions for 851/894, 774/974 is 1/435378.