Use our free GCF of Fractions Calculator tool to compute the GCF of 77/54, 657/41, 315/335 i.e 1/741690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/54, 657/41, 315/335.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/54,657/41,315/335
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 77/54,657/41,315/335, numerators are 77,657,315
Denominators are 54,41,335
The GCF of 77,657,315 is 1 .
LCM of 54,41,335 is 741690.
The greatest common factor of 77/54,657/41,315/335 = [GCF of 77,657,315]/[LCM of 54,41,335]= 1/741690
Therefore, the GCF of 77/54,657/41,315/335 is 1/741690.
To find the highest common factor of 77,657,315, 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 657 are 1, 3, 9, 73, 219, 657
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The HCF of 77,657,315 is 1.
Lets's calculate GCF of 77,657,315
∴ 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 657
:1,3,9,73,219,657
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 77,657,315 . The biggest common factor number is the GCF number.
So the greatest common factor 77,657,315 is 1.
Lets's calculate LCM of 54,41,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 741690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/741690
Therefore, the GCF of Fractions 77/54,657/41,315/335 is 1/741690
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 54,41,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,41,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,41,335) x common factors =1 x 1 = 1
LCM(54,41,335) = ( 54 × 41 × 335 ) / 1
LCM(54,41,335) = 741690 / 1
LCM(54,41,335) = 741690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,657,315?
The HCF of 77,657,315 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 77/54, 657/41, 315/335?
Answer: GCF of Numerators as per given numbers 77/54, 657/41, 315/335 is
GCF of Numerators i.e. for 77,657,315 is 1
LCM of denominators i.e. for 54,41,335 is 741690.
Thus, GCF of Fractions is 1/741690.Finally, GCF of Fractions for 77/54, 657/41, 315/335 is 1/741690.