Use our free GCF of Fractions Calculator tool to compute the GCF of 21/622, 49/499, 277/317 i.e 1/98389826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/622, 49/499, 277/317.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/622,49/499,277/317
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 21/622,49/499,277/317, numerators are 21,49,277
Denominators are 622,499,317
The GCF of 21,49,277 is 1 .
LCM of 622,499,317 is 98389826.
The greatest common factor of 21/622,49/499,277/317 = [GCF of 21,49,277]/[LCM of 622,499,317]= 1/98389826
Therefore, the GCF of 21/622,49/499,277/317 is 1/98389826.
To find the highest common factor of 21,49,277, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 49 are 1, 7, 49
The factors of 277 are 1, 277
The HCF of 21,49,277 is 1.
Lets's calculate GCF of 21,49,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 277
:1,277
Greatest Common Factor
We found the factors 21,49,277 . The biggest common factor number is the GCF number.
So the greatest common factor 21,49,277 is 1.
Lets's calculate LCM of 622,499,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 98389826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98389826
Therefore, the GCF of Fractions 21/622,49/499,277/317 is 1/98389826
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 622,499,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,499,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,499,317) x common factors =1 x 1 = 1
LCM(622,499,317) = ( 622 × 499 × 317 ) / 1
LCM(622,499,317) = 98389826 / 1
LCM(622,499,317) = 98389826
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,49,277?
The HCF of 21,49,277 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 21/622, 49/499, 277/317?
Answer: GCF of Numerators as per given numbers 21/622, 49/499, 277/317 is
GCF of Numerators i.e. for 21,49,277 is 1
LCM of denominators i.e. for 622,499,317 is 98389826.
Thus, GCF of Fractions is 1/98389826.Finally, GCF of Fractions for 21/622, 49/499, 277/317 is 1/98389826.