Use our free GCF of Fractions Calculator tool to compute the GCF of 857/540, 661/538 i.e 1/145260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 857/540, 661/538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 857/540,661/538
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 857/540,661/538, numerators are 857,661
Denominators are 540,538
The GCF of 857,661 is 1 .
LCM of 540,538 is 145260.
The greatest common factor of 857/540,661/538 = [GCF of 857,661]/[LCM of 540,538]= 1/145260
Therefore, the GCF of 857/540,661/538 is 1/145260.
To find the highest common factor of 857,661, we have to find the factors of both numbers and list the highest common factor.
The factors of 857 are 1, 857
The factors of 661 are 1, 661
The HCF of 857,661 is 1.
Lets's calculate GCF of 857,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 857
:1,857
Now, list down the factors of 661
:1,661
Greatest Common Factor
We found the factors 857,661 . The biggest common factor number is the GCF number.
So the greatest common factor 857,661 is 1.
Lets's calculate LCM of 540,538
2 | 540, 538 |
270, 269 |
∴ So the LCM of the given numbers is 2 x 270 x 269 = 145260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145260
Therefore, the GCF of Fractions 857/540,661/538 is 1/145260
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 540,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(540,538) x common factors =2 x 1 = 2
LCM(540,538) = ( 540 × 538 ) / 2
LCM(540,538) = 290520 / 2
LCM(540,538) = 145260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 857,661?
The HCF of 857,661 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 857/540, 661/538?
Answer: GCF of Numerators as per given numbers 857/540, 661/538 is
GCF of Numerators i.e. for 857,661 is 1
LCM of denominators i.e. for 540,538 is 145260.
Thus, GCF of Fractions is 1/145260.Finally, GCF of Fractions for 857/540, 661/538 is 1/145260.