Use our free GCF of Fractions Calculator tool to compute the GCF of 49/97, 129/21, 211/216 i.e 1/146664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/97, 129/21, 211/216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/97,129/21,211/216
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 49/97,129/21,211/216, numerators are 49,129,211
Denominators are 97,21,216
The GCF of 49,129,211 is 1 .
LCM of 97,21,216 is 146664.
The greatest common factor of 49/97,129/21,211/216 = [GCF of 49,129,211]/[LCM of 97,21,216]= 1/146664
Therefore, the GCF of 49/97,129/21,211/216 is 1/146664.
To find the highest common factor of 49,129,211, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 129 are 1, 3, 43, 129
The factors of 211 are 1, 211
The HCF of 49,129,211 is 1.
Lets's calculate GCF of 49,129,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 211
:1,211
Greatest Common Factor
We found the factors 49,129,211 . The biggest common factor number is the GCF number.
So the greatest common factor 49,129,211 is 1.
Lets's calculate LCM of 97,21,216
3 | 97, 21, 216 |
97, 7, 72 |
∴ So the LCM of the given numbers is 3 x 97 x 7 x 72 = 146664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146664
Therefore, the GCF of Fractions 49/97,129/21,211/216 is 1/146664
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 97,21,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,21,216) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,21,216) x common factors =1 x 3 = 3
LCM(97,21,216) = ( 97 × 21 × 216 ) / 3
LCM(97,21,216) = 439992 / 3
LCM(97,21,216) = 146664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,129,211?
The HCF of 49,129,211 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 49/97, 129/21, 211/216?
Answer: GCF of Numerators as per given numbers 49/97, 129/21, 211/216 is
GCF of Numerators i.e. for 49,129,211 is 1
LCM of denominators i.e. for 97,21,216 is 146664.
Thus, GCF of Fractions is 1/146664.Finally, GCF of Fractions for 49/97, 129/21, 211/216 is 1/146664.