Use our free GCF of Fractions Calculator tool to compute the GCF of 26/41, 628/99, 380/577 i.e 2/2342043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/41, 628/99, 380/577.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/41,628/99,380/577
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 26/41,628/99,380/577, numerators are 26,628,380
Denominators are 41,99,577
The GCF of 26,628,380 is 2 .
LCM of 41,99,577 is 2342043.
The greatest common factor of 26/41,628/99,380/577 = [GCF of 26,628,380]/[LCM of 41,99,577]= 2/2342043
Therefore, the GCF of 26/41,628/99,380/577 is 2/2342043.
To find the highest common factor of 26,628,380, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
The HCF of 26,628,380 is 2.
Lets's calculate GCF of 26,628,380
2 | 26, 628, 380 |
13, 314, 190 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 380
:1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 26,628,380 . The biggest common factor number is the GCF number.
So the greatest common factor 26,628,380 is 2.
Lets's calculate LCM of 41,99,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 2342043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2342043
Therefore, the GCF of Fractions 26/41,628/99,380/577 is 2/2342043
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 41,99,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,99,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,99,577) x common factors =1 x 1 = 1
LCM(41,99,577) = ( 41 × 99 × 577 ) / 1
LCM(41,99,577) = 2342043 / 1
LCM(41,99,577) = 2342043
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,628,380?
The HCF of 26,628,380 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 26/41, 628/99, 380/577?
Answer: GCF of Numerators as per given numbers 26/41, 628/99, 380/577 is
GCF of Numerators i.e. for 26,628,380 is 2
LCM of denominators i.e. for 41,99,577 is 2342043.
Thus, GCF of Fractions is 2/2342043.Finally, GCF of Fractions for 26/41, 628/99, 380/577 is 2/2342043.