Use our free GCF of Fractions Calculator tool to compute the GCF of 97/549, 278/501, 137/563 i.e 1/51617529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/549, 278/501, 137/563.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/549,278/501,137/563
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 97/549,278/501,137/563, numerators are 97,278,137
Denominators are 549,501,563
The GCF of 97,278,137 is 1 .
LCM of 549,501,563 is 51617529.
The greatest common factor of 97/549,278/501,137/563 = [GCF of 97,278,137]/[LCM of 549,501,563]= 1/51617529
Therefore, the GCF of 97/549,278/501,137/563 is 1/51617529.
To find the highest common factor of 97,278,137, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 278 are 1, 2, 139, 278
The factors of 137 are 1, 137
The HCF of 97,278,137 is 1.
Lets's calculate GCF of 97,278,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 278
:1,2,139,278
Now, list down the factors of 137
:1,137
Greatest Common Factor
We found the factors 97,278,137 . The biggest common factor number is the GCF number.
So the greatest common factor 97,278,137 is 1.
Lets's calculate LCM of 549,501,563
3 | 549, 501, 563 |
183, 167, 563 |
∴ So the LCM of the given numbers is 3 x 183 x 167 x 563 = 51617529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51617529
Therefore, the GCF of Fractions 97/549,278/501,137/563 is 1/51617529
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 549,501,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,501,563) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(549,501,563) x common factors =1 x 3 = 3
LCM(549,501,563) = ( 549 × 501 × 563 ) / 3
LCM(549,501,563) = 154852587 / 3
LCM(549,501,563) = 51617529
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,278,137?
The HCF of 97,278,137 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 97/549, 278/501, 137/563?
Answer: GCF of Numerators as per given numbers 97/549, 278/501, 137/563 is
GCF of Numerators i.e. for 97,278,137 is 1
LCM of denominators i.e. for 549,501,563 is 51617529.
Thus, GCF of Fractions is 1/51617529.Finally, GCF of Fractions for 97/549, 278/501, 137/563 is 1/51617529.