Use our free GCF of Fractions Calculator tool to compute the GCF of 155/207, 6504/761 i.e 1/157527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/207, 6504/761.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/207,6504/761
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 155/207,6504/761, numerators are 155,6504
Denominators are 207,761
The GCF of 155,6504 is 1 .
LCM of 207,761 is 157527.
The greatest common factor of 155/207,6504/761 = [GCF of 155,6504]/[LCM of 207,761]= 1/157527
Therefore, the GCF of 155/207,6504/761 is 1/157527.
To find the highest common factor of 155,6504, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504
The HCF of 155,6504 is 1.
Lets's calculate GCF of 155,6504
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 6504
:1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504
Greatest Common Factor
We found the factors 155,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 155,6504 is 1.
Lets's calculate LCM of 207,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 157527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157527
Therefore, the GCF of Fractions 155/207,6504/761 is 1/157527
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 207,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,761) x common factors =1 x 1 = 1
LCM(207,761) = ( 207 × 761 ) / 1
LCM(207,761) = 157527 / 1
LCM(207,761) = 157527
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,6504?
The HCF of 155,6504 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 155/207, 6504/761?
Answer: GCF of Numerators as per given numbers 155/207, 6504/761 is
GCF of Numerators i.e. for 155,6504 is 1
LCM of denominators i.e. for 207,761 is 157527.
Thus, GCF of Fractions is 1/157527.Finally, GCF of Fractions for 155/207, 6504/761 is 1/157527.