Use our free GCF of Fractions Calculator tool to compute the GCF of 347/160, 218/852 i.e 1/34080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/160, 218/852.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/160,218/852
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 347/160,218/852, numerators are 347,218
Denominators are 160,852
The GCF of 347,218 is 1 .
LCM of 160,852 is 34080.
The greatest common factor of 347/160,218/852 = [GCF of 347,218]/[LCM of 160,852]= 1/34080
Therefore, the GCF of 347/160,218/852 is 1/34080.
To find the highest common factor of 347,218, we have to find the factors of both numbers and list the highest common factor.
The factors of 347 are 1, 347
The factors of 218 are 1, 2, 109, 218
The HCF of 347,218 is 1.
Lets's calculate GCF of 347,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 347
:1,347
Now, list down the factors of 218
:1,2,109,218
Greatest Common Factor
We found the factors 347,218 . The biggest common factor number is the GCF number.
So the greatest common factor 347,218 is 1.
Lets's calculate LCM of 160,852
2 | 160, 852 |
2 | 80, 426 |
40, 213 |
∴ So the LCM of the given numbers is 2 x 2 x 40 x 213 = 34080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34080
Therefore, the GCF of Fractions 347/160,218/852 is 1/34080
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 160,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(160,852) x common factors =4 x 1 = 4
LCM(160,852) = ( 160 × 852 ) / 4
LCM(160,852) = 136320 / 4
LCM(160,852) = 34080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 347,218?
The HCF of 347,218 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 347/160, 218/852?
Answer: GCF of Numerators as per given numbers 347/160, 218/852 is
GCF of Numerators i.e. for 347,218 is 1
LCM of denominators i.e. for 160,852 is 34080.
Thus, GCF of Fractions is 1/34080.Finally, GCF of Fractions for 347/160, 218/852 is 1/34080.