Use our free GCF of Fractions Calculator tool to compute the GCF of 761/539, 618/598 i.e 1/322322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 761/539, 618/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 761/539,618/598
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 761/539,618/598, numerators are 761,618
Denominators are 539,598
The GCF of 761,618 is 1 .
LCM of 539,598 is 322322.
The greatest common factor of 761/539,618/598 = [GCF of 761,618]/[LCM of 539,598]= 1/322322
Therefore, the GCF of 761/539,618/598 is 1/322322.
To find the highest common factor of 761,618, we have to find the factors of both numbers and list the highest common factor.
The factors of 761 are 1, 761
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The HCF of 761,618 is 1.
Lets's calculate GCF of 761,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 761
:1,761
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 761,618 . The biggest common factor number is the GCF number.
So the greatest common factor 761,618 is 1.
Lets's calculate LCM of 539,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 322322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322322
Therefore, the GCF of Fractions 761/539,618/598 is 1/322322
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 539,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,598) x common factors =1 x 1 = 1
LCM(539,598) = ( 539 × 598 ) / 1
LCM(539,598) = 322322 / 1
LCM(539,598) = 322322
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 761,618?
The HCF of 761,618 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 761/539, 618/598?
Answer: GCF of Numerators as per given numbers 761/539, 618/598 is
GCF of Numerators i.e. for 761,618 is 1
LCM of denominators i.e. for 539,598 is 322322.
Thus, GCF of Fractions is 1/322322.Finally, GCF of Fractions for 761/539, 618/598 is 1/322322.