Use our free GCF of Fractions Calculator tool to compute the GCF of 53/75, 428/71, 202/787 i.e 1/4190775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/75, 428/71, 202/787.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/75,428/71,202/787
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 53/75,428/71,202/787, numerators are 53,428,202
Denominators are 75,71,787
The GCF of 53,428,202 is 1 .
LCM of 75,71,787 is 4190775.
The greatest common factor of 53/75,428/71,202/787 = [GCF of 53,428,202]/[LCM of 75,71,787]= 1/4190775
Therefore, the GCF of 53/75,428/71,202/787 is 1/4190775.
To find the highest common factor of 53,428,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 53 are 1, 53
The factors of 428 are 1, 2, 4, 107, 214, 428
The factors of 202 are 1, 2, 101, 202
The HCF of 53,428,202 is 1.
Lets's calculate GCF of 53,428,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 53
:1,53
Now, list down the factors of 428
:1,2,4,107,214,428
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 53,428,202 . The biggest common factor number is the GCF number.
So the greatest common factor 53,428,202 is 1.
Lets's calculate LCM of 75,71,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 4190775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4190775
Therefore, the GCF of Fractions 53/75,428/71,202/787 is 1/4190775
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 75,71,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,71,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,71,787) x common factors =1 x 1 = 1
LCM(75,71,787) = ( 75 × 71 × 787 ) / 1
LCM(75,71,787) = 4190775 / 1
LCM(75,71,787) = 4190775
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 53,428,202?
The HCF of 53,428,202 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 53/75, 428/71, 202/787?
Answer: GCF of Numerators as per given numbers 53/75, 428/71, 202/787 is
GCF of Numerators i.e. for 53,428,202 is 1
LCM of denominators i.e. for 75,71,787 is 4190775.
Thus, GCF of Fractions is 1/4190775.Finally, GCF of Fractions for 53/75, 428/71, 202/787 is 1/4190775.