Use our free GCF of Fractions Calculator tool to compute the GCF of 7958/64, 3850/997 i.e 2/63808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7958/64, 3850/997.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7958/64,3850/997
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 7958/64,3850/997, numerators are 7958,3850
Denominators are 64,997
The GCF of 7958,3850 is 2 .
LCM of 64,997 is 63808.
The greatest common factor of 7958/64,3850/997 = [GCF of 7958,3850]/[LCM of 64,997]= 2/63808
Therefore, the GCF of 7958/64,3850/997 is 2/63808.
To find the highest common factor of 7958,3850, we have to find the factors of both numbers and list the highest common factor.
The factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958
The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850
The HCF of 7958,3850 is 2.
Lets's calculate GCF of 7958,3850
2 | 7958, 3850 |
3979, 1925 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7958
:1,2,23,46,173,346,3979,7958
Now, list down the factors of 3850
:1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850
Greatest Common Factor
We found the factors 7958,3850 . The biggest common factor number is the GCF number.
So the greatest common factor 7958,3850 is 2.
Lets's calculate LCM of 64,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 63808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63808
Therefore, the GCF of Fractions 7958/64,3850/997 is 2/63808
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 64,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,997) x common factors =1 x 1 = 1
LCM(64,997) = ( 64 × 997 ) / 1
LCM(64,997) = 63808 / 1
LCM(64,997) = 63808
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7958,3850?
The HCF of 7958,3850 is 2
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 7958/64, 3850/997?
Answer: GCF of Numerators as per given numbers 7958/64, 3850/997 is
GCF of Numerators i.e. for 7958,3850 is 2
LCM of denominators i.e. for 64,997 is 63808.
Thus, GCF of Fractions is 2/63808.Finally, GCF of Fractions for 7958/64, 3850/997 is 2/63808.