Use our free GCF of Fractions Calculator tool to compute the GCF of 895/428, 541/286 i.e 1/61204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/428, 541/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/428,541/286
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 895/428,541/286, numerators are 895,541
Denominators are 428,286
The GCF of 895,541 is 1 .
LCM of 428,286 is 61204.
The greatest common factor of 895/428,541/286 = [GCF of 895,541]/[LCM of 428,286]= 1/61204
Therefore, the GCF of 895/428,541/286 is 1/61204.
To find the highest common factor of 895,541, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 541 are 1, 541
The HCF of 895,541 is 1.
Lets's calculate GCF of 895,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 541
:1,541
Greatest Common Factor
We found the factors 895,541 . The biggest common factor number is the GCF number.
So the greatest common factor 895,541 is 1.
Lets's calculate LCM of 428,286
2 | 428, 286 |
214, 143 |
∴ So the LCM of the given numbers is 2 x 214 x 143 = 61204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61204
Therefore, the GCF of Fractions 895/428,541/286 is 1/61204
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 428,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,286) x common factors =2 x 1 = 2
LCM(428,286) = ( 428 × 286 ) / 2
LCM(428,286) = 122408 / 2
LCM(428,286) = 61204
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 895,541?
The HCF of 895,541 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 895/428, 541/286?
Answer: GCF of Numerators as per given numbers 895/428, 541/286 is
GCF of Numerators i.e. for 895,541 is 1
LCM of denominators i.e. for 428,286 is 61204.
Thus, GCF of Fractions is 1/61204.Finally, GCF of Fractions for 895/428, 541/286 is 1/61204.