Use our free GCF of Fractions Calculator tool to compute the GCF of 40/813, 88/125, 530/620 i.e 2/12601500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/813, 88/125, 530/620.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/813,88/125,530/620
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 40/813,88/125,530/620, numerators are 40,88,530
Denominators are 813,125,620
The GCF of 40,88,530 is 2 .
LCM of 813,125,620 is 12601500.
The greatest common factor of 40/813,88/125,530/620 = [GCF of 40,88,530]/[LCM of 813,125,620]= 2/12601500
Therefore, the GCF of 40/813,88/125,530/620 is 2/12601500.
To find the highest common factor of 40,88,530, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 40,88,530 is 2.
Lets's calculate GCF of 40,88,530
2 | 40, 88, 530 |
20, 44, 265 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 40,88,530 . The biggest common factor number is the GCF number.
So the greatest common factor 40,88,530 is 2.
Lets's calculate LCM of 813,125,620
5 | 813, 125, 620 |
813, 25, 124 |
∴ So the LCM of the given numbers is 5 x 813 x 25 x 124 = 12601500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12601500
Therefore, the GCF of Fractions 40/813,88/125,530/620 is 2/12601500
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 813,125,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,125,620) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(813,125,620) x common factors =1 x 5 = 5
LCM(813,125,620) = ( 813 × 125 × 620 ) / 5
LCM(813,125,620) = 63007500 / 5
LCM(813,125,620) = 12601500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,88,530?
The HCF of 40,88,530 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 40/813, 88/125, 530/620?
Answer: GCF of Numerators as per given numbers 40/813, 88/125, 530/620 is
GCF of Numerators i.e. for 40,88,530 is 2
LCM of denominators i.e. for 813,125,620 is 12601500.
Thus, GCF of Fractions is 2/12601500.Finally, GCF of Fractions for 40/813, 88/125, 530/620 is 2/12601500.