Use our free GCF of Fractions Calculator tool to compute the GCF of 84/326, 55/476, 137/320 i.e 1/6207040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/326, 55/476, 137/320.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/326,55/476,137/320
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 84/326,55/476,137/320, numerators are 84,55,137
Denominators are 326,476,320
The GCF of 84,55,137 is 1 .
LCM of 326,476,320 is 6207040.
The greatest common factor of 84/326,55/476,137/320 = [GCF of 84,55,137]/[LCM of 326,476,320]= 1/6207040
Therefore, the GCF of 84/326,55/476,137/320 is 1/6207040.
To find the highest common factor of 84,55,137, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 55 are 1, 5, 11, 55
The factors of 137 are 1, 137
The HCF of 84,55,137 is 1.
Lets's calculate GCF of 84,55,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 137
:1,137
Greatest Common Factor
We found the factors 84,55,137 . The biggest common factor number is the GCF number.
So the greatest common factor 84,55,137 is 1.
Lets's calculate LCM of 326,476,320
2 | 326, 476, 320 |
2 | 163, 238, 160 |
163, 119, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 119 x 80 = 6207040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6207040
Therefore, the GCF of Fractions 84/326,55/476,137/320 is 1/6207040
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 326,476,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,476,320) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(326,476,320) x common factors =2 x 4 = 8
LCM(326,476,320) = ( 326 × 476 × 320 ) / 8
LCM(326,476,320) = 49656320 / 8
LCM(326,476,320) = 6207040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 84,55,137?
The HCF of 84,55,137 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 84/326, 55/476, 137/320?
Answer: GCF of Numerators as per given numbers 84/326, 55/476, 137/320 is
GCF of Numerators i.e. for 84,55,137 is 1
LCM of denominators i.e. for 326,476,320 is 6207040.
Thus, GCF of Fractions is 1/6207040.Finally, GCF of Fractions for 84/326, 55/476, 137/320 is 1/6207040.