Use our free GCF of Fractions Calculator tool to compute the GCF of 43/77, 979/56, 600/874 i.e 1/269192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/77, 979/56, 600/874.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/77,979/56,600/874
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 43/77,979/56,600/874, numerators are 43,979,600
Denominators are 77,56,874
The GCF of 43,979,600 is 1 .
LCM of 77,56,874 is 269192.
The greatest common factor of 43/77,979/56,600/874 = [GCF of 43,979,600]/[LCM of 77,56,874]= 1/269192
Therefore, the GCF of 43/77,979/56,600/874 is 1/269192.
To find the highest common factor of 43,979,600, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 979 are 1, 11, 89, 979
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The HCF of 43,979,600 is 1.
Lets's calculate GCF of 43,979,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 43,979,600 . The biggest common factor number is the GCF number.
So the greatest common factor 43,979,600 is 1.
Lets's calculate LCM of 77,56,874
2 | 77, 56, 874 |
7 | 77, 28, 437 |
11, 4, 437 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 4 x 437 = 269192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269192
Therefore, the GCF of Fractions 43/77,979/56,600/874 is 1/269192
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 77,56,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,56,874) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(77,56,874) x common factors =1 x 14 = 14
LCM(77,56,874) = ( 77 × 56 × 874 ) / 14
LCM(77,56,874) = 3768688 / 14
LCM(77,56,874) = 269192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,979,600?
The HCF of 43,979,600 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 43/77, 979/56, 600/874?
Answer: GCF of Numerators as per given numbers 43/77, 979/56, 600/874 is
GCF of Numerators i.e. for 43,979,600 is 1
LCM of denominators i.e. for 77,56,874 is 269192.
Thus, GCF of Fractions is 1/269192.Finally, GCF of Fractions for 43/77, 979/56, 600/874 is 1/269192.