Use our free GCF of Fractions Calculator tool to compute the GCF of 70/53, 842/69, 464/287 i.e 2/1049559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/53, 842/69, 464/287.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/53,842/69,464/287
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 70/53,842/69,464/287, numerators are 70,842,464
Denominators are 53,69,287
The GCF of 70,842,464 is 2 .
LCM of 53,69,287 is 1049559.
The greatest common factor of 70/53,842/69,464/287 = [GCF of 70,842,464]/[LCM of 53,69,287]= 2/1049559
Therefore, the GCF of 70/53,842/69,464/287 is 2/1049559.
To find the highest common factor of 70,842,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 842 are 1, 2, 421, 842
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 70,842,464 is 2.
Lets's calculate GCF of 70,842,464
2 | 70, 842, 464 |
35, 421, 232 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 70,842,464 . The biggest common factor number is the GCF number.
So the greatest common factor 70,842,464 is 2.
Lets's calculate LCM of 53,69,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 1049559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1049559
Therefore, the GCF of Fractions 70/53,842/69,464/287 is 2/1049559
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 53,69,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,69,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,69,287) x common factors =1 x 1 = 1
LCM(53,69,287) = ( 53 × 69 × 287 ) / 1
LCM(53,69,287) = 1049559 / 1
LCM(53,69,287) = 1049559
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,842,464?
The HCF of 70,842,464 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 70/53, 842/69, 464/287?
Answer: GCF of Numerators as per given numbers 70/53, 842/69, 464/287 is
GCF of Numerators i.e. for 70,842,464 is 2
LCM of denominators i.e. for 53,69,287 is 1049559.
Thus, GCF of Fractions is 2/1049559.Finally, GCF of Fractions for 70/53, 842/69, 464/287 is 2/1049559.