Use our free GCF of Fractions Calculator tool to compute the GCF of 882/397, 597/552 i.e 3/219144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 882/397, 597/552.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 882/397,597/552
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 882/397,597/552, numerators are 882,597
Denominators are 397,552
The GCF of 882,597 is 3 .
LCM of 397,552 is 219144.
The greatest common factor of 882/397,597/552 = [GCF of 882,597]/[LCM of 397,552]= 3/219144
Therefore, the GCF of 882/397,597/552 is 3/219144.
To find the highest common factor of 882,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The factors of 597 are 1, 3, 199, 597
The HCF of 882,597 is 3.
Lets's calculate GCF of 882,597
3 | 882, 597 |
294, 199 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 882,597 . The biggest common factor number is the GCF number.
So the greatest common factor 882,597 is 3.
Lets's calculate LCM of 397,552
Given numbers has no common factors except 1. So, there LCM is their product i.e 219144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/219144
Therefore, the GCF of Fractions 882/397,597/552 is 3/219144
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 397,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,552) x common factors =1 x 1 = 1
LCM(397,552) = ( 397 × 552 ) / 1
LCM(397,552) = 219144 / 1
LCM(397,552) = 219144
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 882,597?
The HCF of 882,597 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 882/397, 597/552?
Answer: GCF of Numerators as per given numbers 882/397, 597/552 is
GCF of Numerators i.e. for 882,597 is 3
LCM of denominators i.e. for 397,552 is 219144.
Thus, GCF of Fractions is 3/219144.Finally, GCF of Fractions for 882/397, 597/552 is 3/219144.