Use our free GCF of Fractions Calculator tool to compute the GCF of 80/61, 692/86, 726/256 i.e 2/671488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/61, 692/86, 726/256.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/61,692/86,726/256
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 80/61,692/86,726/256, numerators are 80,692,726
Denominators are 61,86,256
The GCF of 80,692,726 is 2 .
LCM of 61,86,256 is 671488.
The greatest common factor of 80/61,692/86,726/256 = [GCF of 80,692,726]/[LCM of 61,86,256]= 2/671488
Therefore, the GCF of 80/61,692/86,726/256 is 2/671488.
To find the highest common factor of 80,692,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 80,692,726 is 2.
Lets's calculate GCF of 80,692,726
2 | 80, 692, 726 |
40, 346, 363 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 80,692,726 . The biggest common factor number is the GCF number.
So the greatest common factor 80,692,726 is 2.
Lets's calculate LCM of 61,86,256
2 | 61, 86, 256 |
61, 43, 128 |
∴ So the LCM of the given numbers is 2 x 61 x 43 x 128 = 671488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/671488
Therefore, the GCF of Fractions 80/61,692/86,726/256 is 2/671488
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 61,86,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,86,256) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,86,256) x common factors =1 x 2 = 2
LCM(61,86,256) = ( 61 × 86 × 256 ) / 2
LCM(61,86,256) = 1342976 / 2
LCM(61,86,256) = 671488
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 80,692,726?
The HCF of 80,692,726 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 80/61, 692/86, 726/256?
Answer: GCF of Numerators as per given numbers 80/61, 692/86, 726/256 is
GCF of Numerators i.e. for 80,692,726 is 2
LCM of denominators i.e. for 61,86,256 is 671488.
Thus, GCF of Fractions is 2/671488.Finally, GCF of Fractions for 80/61, 692/86, 726/256 is 2/671488.