Use our free GCF of Fractions Calculator tool to compute the GCF of 537/897, 286/870 i.e 1/260130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/897, 286/870.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/897,286/870
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 537/897,286/870, numerators are 537,286
Denominators are 897,870
The GCF of 537,286 is 1 .
LCM of 897,870 is 260130.
The greatest common factor of 537/897,286/870 = [GCF of 537,286]/[LCM of 897,870]= 1/260130
Therefore, the GCF of 537/897,286/870 is 1/260130.
To find the highest common factor of 537,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 537 are 1, 3, 179, 537
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 537,286 is 1.
Lets's calculate GCF of 537,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 537
:1,3,179,537
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 537,286 . The biggest common factor number is the GCF number.
So the greatest common factor 537,286 is 1.
Lets's calculate LCM of 897,870
3 | 897, 870 |
299, 290 |
∴ So the LCM of the given numbers is 3 x 299 x 290 = 260130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260130
Therefore, the GCF of Fractions 537/897,286/870 is 1/260130
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 897,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,870) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,870) x common factors =3 x 1 = 3
LCM(897,870) = ( 897 × 870 ) / 3
LCM(897,870) = 780390 / 3
LCM(897,870) = 260130
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 537,286?
The HCF of 537,286 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 537/897, 286/870?
Answer: GCF of Numerators as per given numbers 537/897, 286/870 is
GCF of Numerators i.e. for 537,286 is 1
LCM of denominators i.e. for 897,870 is 260130.
Thus, GCF of Fractions is 1/260130.Finally, GCF of Fractions for 537/897, 286/870 is 1/260130.