Use our free GCF of Fractions Calculator tool to compute the GCF of 552/470, 580/119 i.e 4/55930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/470, 580/119.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/470,580/119
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 552/470,580/119, numerators are 552,580
Denominators are 470,119
The GCF of 552,580 is 4 .
LCM of 470,119 is 55930.
The greatest common factor of 552/470,580/119 = [GCF of 552,580]/[LCM of 470,119]= 4/55930
Therefore, the GCF of 552/470,580/119 is 4/55930.
To find the highest common factor of 552,580, 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 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 552,580 is 4.
Lets's calculate GCF of 552,580
2 | 552, 580 |
2 | 276, 290 |
138, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 552,580 . The biggest common factor number is the GCF number.
So the greatest common factor 552,580 is 4.
Lets's calculate LCM of 470,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 55930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55930
Therefore, the GCF of Fractions 552/470,580/119 is 4/55930
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 470,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,119) x common factors =1 x 1 = 1
LCM(470,119) = ( 470 × 119 ) / 1
LCM(470,119) = 55930 / 1
LCM(470,119) = 55930
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 552,580?
The HCF of 552,580 is 4
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 552/470, 580/119?
Answer: GCF of Numerators as per given numbers 552/470, 580/119 is
GCF of Numerators i.e. for 552,580 is 4
LCM of denominators i.e. for 470,119 is 55930.
Thus, GCF of Fractions is 4/55930.Finally, GCF of Fractions for 552/470, 580/119 is 4/55930.