Use our free GCF of Fractions Calculator tool to compute the GCF of 551/120, 217/796 i.e 1/23880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/120, 217/796.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 551/120,217/796
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 551/120,217/796, numerators are 551,217
Denominators are 120,796
The GCF of 551,217 is 1 .
LCM of 120,796 is 23880.
The greatest common factor of 551/120,217/796 = [GCF of 551,217]/[LCM of 120,796]= 1/23880
Therefore, the GCF of 551/120,217/796 is 1/23880.
To find the highest common factor of 551,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 217 are 1, 7, 31, 217
The HCF of 551,217 is 1.
Lets's calculate GCF of 551,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 551,217 . The biggest common factor number is the GCF number.
So the greatest common factor 551,217 is 1.
Lets's calculate LCM of 120,796
2 | 120, 796 |
2 | 60, 398 |
30, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 30 x 199 = 23880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23880
Therefore, the GCF of Fractions 551/120,217/796 is 1/23880
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 120,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(120,796) x common factors =4 x 1 = 4
LCM(120,796) = ( 120 × 796 ) / 4
LCM(120,796) = 95520 / 4
LCM(120,796) = 23880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 551,217?
The HCF of 551,217 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 551/120, 217/796?
Answer: GCF of Numerators as per given numbers 551/120, 217/796 is
GCF of Numerators i.e. for 551,217 is 1
LCM of denominators i.e. for 120,796 is 23880.
Thus, GCF of Fractions is 1/23880.Finally, GCF of Fractions for 551/120, 217/796 is 1/23880.