Use our free GCF of Fractions Calculator tool to compute the GCF of 43/710, 444/579, 201/877 i.e 1/360525930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/710, 444/579, 201/877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/710,444/579,201/877
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 43/710,444/579,201/877, numerators are 43,444,201
Denominators are 710,579,877
The GCF of 43,444,201 is 1 .
LCM of 710,579,877 is 360525930.
The greatest common factor of 43/710,444/579,201/877 = [GCF of 43,444,201]/[LCM of 710,579,877]= 1/360525930
Therefore, the GCF of 43/710,444/579,201/877 is 1/360525930.
To find the highest common factor of 43,444,201, 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 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 201 are 1, 3, 67, 201
The HCF of 43,444,201 is 1.
Lets's calculate GCF of 43,444,201
∴ 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 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 201
:1,3,67,201
Greatest Common Factor
We found the factors 43,444,201 . The biggest common factor number is the GCF number.
So the greatest common factor 43,444,201 is 1.
Lets's calculate LCM of 710,579,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 360525930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360525930
Therefore, the GCF of Fractions 43/710,444/579,201/877 is 1/360525930
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 710,579,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,579,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,579,877) x common factors =1 x 1 = 1
LCM(710,579,877) = ( 710 × 579 × 877 ) / 1
LCM(710,579,877) = 360525930 / 1
LCM(710,579,877) = 360525930
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,444,201?
The HCF of 43,444,201 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 43/710, 444/579, 201/877?
Answer: GCF of Numerators as per given numbers 43/710, 444/579, 201/877 is
GCF of Numerators i.e. for 43,444,201 is 1
LCM of denominators i.e. for 710,579,877 is 360525930.
Thus, GCF of Fractions is 1/360525930.Finally, GCF of Fractions for 43/710, 444/579, 201/877 is 1/360525930.