Use our free GCF of Fractions Calculator tool to compute the GCF of 77/937, 73/883, 760/665 i.e 1/550201715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/937, 73/883, 760/665.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/937,73/883,760/665
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 77/937,73/883,760/665, numerators are 77,73,760
Denominators are 937,883,665
The GCF of 77,73,760 is 1 .
LCM of 937,883,665 is 550201715.
The greatest common factor of 77/937,73/883,760/665 = [GCF of 77,73,760]/[LCM of 937,883,665]= 1/550201715
Therefore, the GCF of 77/937,73/883,760/665 is 1/550201715.
To find the highest common factor of 77,73,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 73 are 1, 73
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 77,73,760 is 1.
Lets's calculate GCF of 77,73,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 73
:1,73
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 77,73,760 . The biggest common factor number is the GCF number.
So the greatest common factor 77,73,760 is 1.
Lets's calculate LCM of 937,883,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 550201715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550201715
Therefore, the GCF of Fractions 77/937,73/883,760/665 is 1/550201715
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 937,883,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,883,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,883,665) x common factors =1 x 1 = 1
LCM(937,883,665) = ( 937 × 883 × 665 ) / 1
LCM(937,883,665) = 550201715 / 1
LCM(937,883,665) = 550201715
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,73,760?
The HCF of 77,73,760 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 77/937, 73/883, 760/665?
Answer: GCF of Numerators as per given numbers 77/937, 73/883, 760/665 is
GCF of Numerators i.e. for 77,73,760 is 1
LCM of denominators i.e. for 937,883,665 is 550201715.
Thus, GCF of Fractions is 1/550201715.Finally, GCF of Fractions for 77/937, 73/883, 760/665 is 1/550201715.