Use our free GCF of Fractions Calculator tool to compute the GCF of 996/777, 765/242 i.e 3/188034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/777, 765/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/777,765/242
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 996/777,765/242, numerators are 996,765
Denominators are 777,242
The GCF of 996,765 is 3 .
LCM of 777,242 is 188034.
The greatest common factor of 996/777,765/242 = [GCF of 996,765]/[LCM of 777,242]= 3/188034
Therefore, the GCF of 996/777,765/242 is 3/188034.
To find the highest common factor of 996,765, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
The HCF of 996,765 is 3.
Lets's calculate GCF of 996,765
3 | 996, 765 |
332, 255 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 765
:1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 996,765 . The biggest common factor number is the GCF number.
So the greatest common factor 996,765 is 3.
Lets's calculate LCM of 777,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 188034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/188034
Therefore, the GCF of Fractions 996/777,765/242 is 3/188034
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 777,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,242) x common factors =1 x 1 = 1
LCM(777,242) = ( 777 × 242 ) / 1
LCM(777,242) = 188034 / 1
LCM(777,242) = 188034
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,765?
The HCF of 996,765 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 996/777, 765/242?
Answer: GCF of Numerators as per given numbers 996/777, 765/242 is
GCF of Numerators i.e. for 996,765 is 3
LCM of denominators i.e. for 777,242 is 188034.
Thus, GCF of Fractions is 3/188034.Finally, GCF of Fractions for 996/777, 765/242 is 3/188034.