Use our free GCF of Fractions Calculator tool to compute the GCF of 945/122, 774/597 i.e 9/72834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/122, 774/597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 945/122,774/597
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 945/122,774/597, numerators are 945,774
Denominators are 122,597
The GCF of 945,774 is 9 .
LCM of 122,597 is 72834.
The greatest common factor of 945/122,774/597 = [GCF of 945,774]/[LCM of 122,597]= 9/72834
Therefore, the GCF of 945/122,774/597 is 9/72834.
To find the highest common factor of 945,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 945,774 is 9.
Lets's calculate GCF of 945,774
3 | 945, 774 |
3 | 315, 258 |
105, 86 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
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 945,774 . The biggest common factor number is the GCF number.
So the greatest common factor 945,774 is 9.
Lets's calculate LCM of 122,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 72834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/72834
Therefore, the GCF of Fractions 945/122,774/597 is 9/72834
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 122,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,597) x common factors =1 x 1 = 1
LCM(122,597) = ( 122 × 597 ) / 1
LCM(122,597) = 72834 / 1
LCM(122,597) = 72834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 945,774?
The HCF of 945,774 is 9
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 945/122, 774/597?
Answer: GCF of Numerators as per given numbers 945/122, 774/597 is
GCF of Numerators i.e. for 945,774 is 9
LCM of denominators i.e. for 122,597 is 72834.
Thus, GCF of Fractions is 9/72834.Finally, GCF of Fractions for 945/122, 774/597 is 9/72834.