Use our free GCF of Fractions Calculator tool to compute the GCF of 945/765, 222/677 i.e 3/517905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/765, 222/677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 945/765,222/677
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 945/765,222/677, numerators are 945,222
Denominators are 765,677
The GCF of 945,222 is 3 .
LCM of 765,677 is 517905.
The greatest common factor of 945/765,222/677 = [GCF of 945,222]/[LCM of 765,677]= 3/517905
Therefore, the GCF of 945/765,222/677 is 3/517905.
To find the highest common factor of 945,222, 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 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 945,222 is 3.
Lets's calculate GCF of 945,222
3 | 945, 222 |
315, 74 |
∴ So the GCF of the given numbers is 3 = 3
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 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 945,222 . The biggest common factor number is the GCF number.
So the greatest common factor 945,222 is 3.
Lets's calculate LCM of 765,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 517905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/517905
Therefore, the GCF of Fractions 945/765,222/677 is 3/517905
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 765,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,677) x common factors =1 x 1 = 1
LCM(765,677) = ( 765 × 677 ) / 1
LCM(765,677) = 517905 / 1
LCM(765,677) = 517905
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 945,222?
The HCF of 945,222 is 3
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 945/765, 222/677?
Answer: GCF of Numerators as per given numbers 945/765, 222/677 is
GCF of Numerators i.e. for 945,222 is 3
LCM of denominators i.e. for 765,677 is 517905.
Thus, GCF of Fractions is 3/517905.Finally, GCF of Fractions for 945/765, 222/677 is 3/517905.