Use our free GCF of Fractions Calculator tool to compute the GCF of 567/652, 900/139 i.e 9/90628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/652, 900/139.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/652,900/139
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 567/652,900/139, numerators are 567,900
Denominators are 652,139
The GCF of 567,900 is 9 .
LCM of 652,139 is 90628.
The greatest common factor of 567/652,900/139 = [GCF of 567,900]/[LCM of 652,139]= 9/90628
Therefore, the GCF of 567/652,900/139 is 9/90628.
To find the highest common factor of 567,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 567,900 is 9.
Lets's calculate GCF of 567,900
3 | 567, 900 |
3 | 189, 300 |
63, 100 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 567,900 . The biggest common factor number is the GCF number.
So the greatest common factor 567,900 is 9.
Lets's calculate LCM of 652,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 90628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/90628
Therefore, the GCF of Fractions 567/652,900/139 is 9/90628
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 652,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,139) x common factors =1 x 1 = 1
LCM(652,139) = ( 652 × 139 ) / 1
LCM(652,139) = 90628 / 1
LCM(652,139) = 90628
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 567,900?
The HCF of 567,900 is 9
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 567/652, 900/139?
Answer: GCF of Numerators as per given numbers 567/652, 900/139 is
GCF of Numerators i.e. for 567,900 is 9
LCM of denominators i.e. for 652,139 is 90628.
Thus, GCF of Fractions is 9/90628.Finally, GCF of Fractions for 567/652, 900/139 is 9/90628.