Use our free GCF of Fractions Calculator tool to compute the GCF of 552/973, 557/740 i.e 1/720020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/973, 557/740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/973,557/740
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 552/973,557/740, numerators are 552,557
Denominators are 973,740
The GCF of 552,557 is 1 .
LCM of 973,740 is 720020.
The greatest common factor of 552/973,557/740 = [GCF of 552,557]/[LCM of 973,740]= 1/720020
Therefore, the GCF of 552/973,557/740 is 1/720020.
To find the highest common factor of 552,557, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 557 are 1, 557
The HCF of 552,557 is 1.
Lets's calculate GCF of 552,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 557
:1,557
Greatest Common Factor
We found the factors 552,557 . The biggest common factor number is the GCF number.
So the greatest common factor 552,557 is 1.
Lets's calculate LCM of 973,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 720020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720020
Therefore, the GCF of Fractions 552/973,557/740 is 1/720020
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 973,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,740) x common factors =1 x 1 = 1
LCM(973,740) = ( 973 × 740 ) / 1
LCM(973,740) = 720020 / 1
LCM(973,740) = 720020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 552,557?
The HCF of 552,557 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 552/973, 557/740?
Answer: GCF of Numerators as per given numbers 552/973, 557/740 is
GCF of Numerators i.e. for 552,557 is 1
LCM of denominators i.e. for 973,740 is 720020.
Thus, GCF of Fractions is 1/720020.Finally, GCF of Fractions for 552/973, 557/740 is 1/720020.