Use our free GCF of Fractions Calculator tool to compute the GCF of 38/919, 50/426, 870/667 i.e 2/261126498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/919, 50/426, 870/667.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/919,50/426,870/667
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 38/919,50/426,870/667, numerators are 38,50,870
Denominators are 919,426,667
The GCF of 38,50,870 is 2 .
LCM of 919,426,667 is 261126498.
The greatest common factor of 38/919,50/426,870/667 = [GCF of 38,50,870]/[LCM of 919,426,667]= 2/261126498
Therefore, the GCF of 38/919,50/426,870/667 is 2/261126498.
To find the highest common factor of 38,50,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 38,50,870 is 2.
Lets's calculate GCF of 38,50,870
2 | 38, 50, 870 |
19, 25, 435 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 38,50,870 . The biggest common factor number is the GCF number.
So the greatest common factor 38,50,870 is 2.
Lets's calculate LCM of 919,426,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 261126498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261126498
Therefore, the GCF of Fractions 38/919,50/426,870/667 is 2/261126498
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 919,426,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,426,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,426,667) x common factors =1 x 1 = 1
LCM(919,426,667) = ( 919 × 426 × 667 ) / 1
LCM(919,426,667) = 261126498 / 1
LCM(919,426,667) = 261126498
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,50,870?
The HCF of 38,50,870 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 38/919, 50/426, 870/667?
Answer: GCF of Numerators as per given numbers 38/919, 50/426, 870/667 is
GCF of Numerators i.e. for 38,50,870 is 2
LCM of denominators i.e. for 919,426,667 is 261126498.
Thus, GCF of Fractions is 2/261126498.Finally, GCF of Fractions for 38/919, 50/426, 870/667 is 2/261126498.