Use our free GCF of Fractions Calculator tool to compute the GCF of 591/880, 757/161 i.e 1/141680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/880, 757/161.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/880,757/161
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 591/880,757/161, numerators are 591,757
Denominators are 880,161
The GCF of 591,757 is 1 .
LCM of 880,161 is 141680.
The greatest common factor of 591/880,757/161 = [GCF of 591,757]/[LCM of 880,161]= 1/141680
Therefore, the GCF of 591/880,757/161 is 1/141680.
To find the highest common factor of 591,757, we have to find the factors of both numbers and list the highest common factor.
The factors of 591 are 1, 3, 197, 591
The factors of 757 are 1, 757
The HCF of 591,757 is 1.
Lets's calculate GCF of 591,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 757
:1,757
Greatest Common Factor
We found the factors 591,757 . The biggest common factor number is the GCF number.
So the greatest common factor 591,757 is 1.
Lets's calculate LCM of 880,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 141680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141680
Therefore, the GCF of Fractions 591/880,757/161 is 1/141680
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 880,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,161) x common factors =1 x 1 = 1
LCM(880,161) = ( 880 × 161 ) / 1
LCM(880,161) = 141680 / 1
LCM(880,161) = 141680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 591,757?
The HCF of 591,757 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 591/880, 757/161?
Answer: GCF of Numerators as per given numbers 591/880, 757/161 is
GCF of Numerators i.e. for 591,757 is 1
LCM of denominators i.e. for 880,161 is 141680.
Thus, GCF of Fractions is 1/141680.Finally, GCF of Fractions for 591/880, 757/161 is 1/141680.