Use our free GCF of Fractions Calculator tool to compute the GCF of 222/873, 747/209 i.e 3/182457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/873, 747/209.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/873,747/209
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 222/873,747/209, numerators are 222,747
Denominators are 873,209
The GCF of 222,747 is 3 .
LCM of 873,209 is 182457.
The greatest common factor of 222/873,747/209 = [GCF of 222,747]/[LCM of 873,209]= 3/182457
Therefore, the GCF of 222/873,747/209 is 3/182457.
To find the highest common factor of 222,747, we have to find the factors of both numbers and list the highest common factor.
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 747 are 1, 3, 9, 83, 249, 747
The HCF of 222,747 is 3.
Lets's calculate GCF of 222,747
3 | 222, 747 |
74, 249 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 747
:1,3,9,83,249,747
Greatest Common Factor
We found the factors 222,747 . The biggest common factor number is the GCF number.
So the greatest common factor 222,747 is 3.
Lets's calculate LCM of 873,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 182457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/182457
Therefore, the GCF of Fractions 222/873,747/209 is 3/182457
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 873,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,209) x common factors =1 x 1 = 1
LCM(873,209) = ( 873 × 209 ) / 1
LCM(873,209) = 182457 / 1
LCM(873,209) = 182457
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 222,747?
The HCF of 222,747 is 3
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 222/873, 747/209?
Answer: GCF of Numerators as per given numbers 222/873, 747/209 is
GCF of Numerators i.e. for 222,747 is 3
LCM of denominators i.e. for 873,209 is 182457.
Thus, GCF of Fractions is 3/182457.Finally, GCF of Fractions for 222/873, 747/209 is 3/182457.