Use our free GCF of Fractions Calculator tool to compute the GCF of 560/122, 560/187 i.e 560/22814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 560/122, 560/187.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/122,560/187
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 560/122,560/187, numerators are 560,560
Denominators are 122,187
The GCF of 560,560 is 560 .
LCM of 122,187 is 22814.
The greatest common factor of 560/122,560/187 = [GCF of 560,560]/[LCM of 122,187]= 560/22814
Therefore, the GCF of 560/122,560/187 is 560/22814.
To find the highest common factor of 560,560, we have to find the factors of both numbers and list the highest common factor.
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The HCF of 560,560 is 560.
Lets's calculate GCF of 560,560
2 | 560, 560 |
2 | 280, 280 |
2 | 140, 140 |
2 | 70, 70 |
5 | 35, 35 |
7 | 7, 7 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 = 560
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 560,560 . The biggest common factor number is the GCF number.
So the greatest common factor 560,560 is 560.
Lets's calculate LCM of 122,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 22814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 560/22814
Therefore, the GCF of Fractions 560/122,560/187 is 560/22814
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 122,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,187) x common factors =1 x 1 = 1
LCM(122,187) = ( 122 × 187 ) / 1
LCM(122,187) = 22814 / 1
LCM(122,187) = 22814
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 560,560?
The HCF of 560,560 is 560
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 560/122, 560/187?
Answer: GCF of Numerators as per given numbers 560/122, 560/187 is
GCF of Numerators i.e. for 560,560 is 560
LCM of denominators i.e. for 122,187 is 22814.
Thus, GCF of Fractions is 560/22814.Finally, GCF of Fractions for 560/122, 560/187 is 560/22814.