Use our free GCF of Fractions Calculator tool to compute the GCF of 86/144, 622/689, 561/514 i.e 1/25498512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/144, 622/689, 561/514.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/144,622/689,561/514
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 86/144,622/689,561/514, numerators are 86,622,561
Denominators are 144,689,514
The GCF of 86,622,561 is 1 .
LCM of 144,689,514 is 25498512.
The greatest common factor of 86/144,622/689,561/514 = [GCF of 86,622,561]/[LCM of 144,689,514]= 1/25498512
Therefore, the GCF of 86/144,622/689,561/514 is 1/25498512.
To find the highest common factor of 86,622,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 622 are 1, 2, 311, 622
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 86,622,561 is 1.
Lets's calculate GCF of 86,622,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 622
:1,2,311,622
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 86,622,561 . The biggest common factor number is the GCF number.
So the greatest common factor 86,622,561 is 1.
Lets's calculate LCM of 144,689,514
2 | 144, 689, 514 |
72, 689, 257 |
∴ So the LCM of the given numbers is 2 x 72 x 689 x 257 = 25498512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25498512
Therefore, the GCF of Fractions 86/144,622/689,561/514 is 1/25498512
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 144,689,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,689,514) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(144,689,514) x common factors =1 x 2 = 2
LCM(144,689,514) = ( 144 × 689 × 514 ) / 2
LCM(144,689,514) = 50997024 / 2
LCM(144,689,514) = 25498512
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,622,561?
The HCF of 86,622,561 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 86/144, 622/689, 561/514?
Answer: GCF of Numerators as per given numbers 86/144, 622/689, 561/514 is
GCF of Numerators i.e. for 86,622,561 is 1
LCM of denominators i.e. for 144,689,514 is 25498512.
Thus, GCF of Fractions is 1/25498512.Finally, GCF of Fractions for 86/144, 622/689, 561/514 is 1/25498512.