Use our free GCF of Fractions Calculator tool to compute the GCF of 560/686, 914/877 i.e 2/601622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 560/686, 914/877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/686,914/877
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 560/686,914/877, numerators are 560,914
Denominators are 686,877
The GCF of 560,914 is 2 .
LCM of 686,877 is 601622.
The greatest common factor of 560/686,914/877 = [GCF of 560,914]/[LCM of 686,877]= 2/601622
Therefore, the GCF of 560/686,914/877 is 2/601622.
To find the highest common factor of 560,914, 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 914 are 1, 2, 457, 914
The HCF of 560,914 is 2.
Lets's calculate GCF of 560,914
2 | 560, 914 |
280, 457 |
∴ So the GCF of the given numbers is 2 = 2
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 914
:1,2,457,914
Greatest Common Factor
We found the factors 560,914 . The biggest common factor number is the GCF number.
So the greatest common factor 560,914 is 2.
Lets's calculate LCM of 686,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 601622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/601622
Therefore, the GCF of Fractions 560/686,914/877 is 2/601622
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 686,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,877) x common factors =1 x 1 = 1
LCM(686,877) = ( 686 × 877 ) / 1
LCM(686,877) = 601622 / 1
LCM(686,877) = 601622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 560,914?
The HCF of 560,914 is 2
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 560/686, 914/877?
Answer: GCF of Numerators as per given numbers 560/686, 914/877 is
GCF of Numerators i.e. for 560,914 is 2
LCM of denominators i.e. for 686,877 is 601622.
Thus, GCF of Fractions is 2/601622.Finally, GCF of Fractions for 560/686, 914/877 is 2/601622.