Use our free GCF of Fractions Calculator tool to compute the GCF of 84/651, 31/552, 536/687 i.e 1/27430536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/651, 31/552, 536/687.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/651,31/552,536/687
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 84/651,31/552,536/687, numerators are 84,31,536
Denominators are 651,552,687
The GCF of 84,31,536 is 1 .
LCM of 651,552,687 is 27430536.
The greatest common factor of 84/651,31/552,536/687 = [GCF of 84,31,536]/[LCM of 651,552,687]= 1/27430536
Therefore, the GCF of 84/651,31/552,536/687 is 1/27430536.
To find the highest common factor of 84,31,536, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 31 are 1, 31
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The HCF of 84,31,536 is 1.
Lets's calculate GCF of 84,31,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 31
:1,31
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 84,31,536 . The biggest common factor number is the GCF number.
So the greatest common factor 84,31,536 is 1.
Lets's calculate LCM of 651,552,687
3 | 651, 552, 687 |
217, 184, 229 |
∴ So the LCM of the given numbers is 3 x 217 x 184 x 229 = 27430536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27430536
Therefore, the GCF of Fractions 84/651,31/552,536/687 is 1/27430536
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 651,552,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,552,687) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(651,552,687) x common factors =3 x 3 = 9
LCM(651,552,687) = ( 651 × 552 × 687 ) / 9
LCM(651,552,687) = 246874824 / 9
LCM(651,552,687) = 27430536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 84,31,536?
The HCF of 84,31,536 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 84/651, 31/552, 536/687?
Answer: GCF of Numerators as per given numbers 84/651, 31/552, 536/687 is
GCF of Numerators i.e. for 84,31,536 is 1
LCM of denominators i.e. for 651,552,687 is 27430536.
Thus, GCF of Fractions is 1/27430536.Finally, GCF of Fractions for 84/651, 31/552, 536/687 is 1/27430536.