Use our free GCF of Fractions Calculator tool to compute the GCF of 879/642, 767/729 i.e 1/156006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/642, 767/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/642,767/729
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 879/642,767/729, numerators are 879,767
Denominators are 642,729
The GCF of 879,767 is 1 .
LCM of 642,729 is 156006.
The greatest common factor of 879/642,767/729 = [GCF of 879,767]/[LCM of 642,729]= 1/156006
Therefore, the GCF of 879/642,767/729 is 1/156006.
To find the highest common factor of 879,767, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 767 are 1, 13, 59, 767
The HCF of 879,767 is 1.
Lets's calculate GCF of 879,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 767
:1,13,59,767
Greatest Common Factor
We found the factors 879,767 . The biggest common factor number is the GCF number.
So the greatest common factor 879,767 is 1.
Lets's calculate LCM of 642,729
3 | 642, 729 |
214, 243 |
∴ So the LCM of the given numbers is 3 x 214 x 243 = 156006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156006
Therefore, the GCF of Fractions 879/642,767/729 is 1/156006
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 642,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,729) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,729) x common factors =3 x 1 = 3
LCM(642,729) = ( 642 × 729 ) / 3
LCM(642,729) = 468018 / 3
LCM(642,729) = 156006
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 879,767?
The HCF of 879,767 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 879/642, 767/729?
Answer: GCF of Numerators as per given numbers 879/642, 767/729 is
GCF of Numerators i.e. for 879,767 is 1
LCM of denominators i.e. for 642,729 is 156006.
Thus, GCF of Fractions is 1/156006.Finally, GCF of Fractions for 879/642, 767/729 is 1/156006.