Use our free GCF of Fractions Calculator tool to compute the GCF of 50/692, 22/811, 381/643 i.e 1/360859316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/692, 22/811, 381/643.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/692,22/811,381/643
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 50/692,22/811,381/643, numerators are 50,22,381
Denominators are 692,811,643
The GCF of 50,22,381 is 1 .
LCM of 692,811,643 is 360859316.
The greatest common factor of 50/692,22/811,381/643 = [GCF of 50,22,381]/[LCM of 692,811,643]= 1/360859316
Therefore, the GCF of 50/692,22/811,381/643 is 1/360859316.
To find the highest common factor of 50,22,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 22 are 1, 2, 11, 22
The factors of 381 are 1, 3, 127, 381
The HCF of 50,22,381 is 1.
Lets's calculate GCF of 50,22,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 50,22,381 . The biggest common factor number is the GCF number.
So the greatest common factor 50,22,381 is 1.
Lets's calculate LCM of 692,811,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 360859316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360859316
Therefore, the GCF of Fractions 50/692,22/811,381/643 is 1/360859316
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 692,811,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,811,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,811,643) x common factors =1 x 1 = 1
LCM(692,811,643) = ( 692 × 811 × 643 ) / 1
LCM(692,811,643) = 360859316 / 1
LCM(692,811,643) = 360859316
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,22,381?
The HCF of 50,22,381 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 50/692, 22/811, 381/643?
Answer: GCF of Numerators as per given numbers 50/692, 22/811, 381/643 is
GCF of Numerators i.e. for 50,22,381 is 1
LCM of denominators i.e. for 692,811,643 is 360859316.
Thus, GCF of Fractions is 1/360859316.Finally, GCF of Fractions for 50/692, 22/811, 381/643 is 1/360859316.