Use our free GCF of Fractions Calculator tool to compute the GCF of 5321/334, 6256/821 i.e 17/274214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5321/334, 6256/821.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5321/334,6256/821
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 5321/334,6256/821, numerators are 5321,6256
Denominators are 334,821
The GCF of 5321,6256 is 17 .
LCM of 334,821 is 274214.
The greatest common factor of 5321/334,6256/821 = [GCF of 5321,6256]/[LCM of 334,821]= 17/274214
Therefore, the GCF of 5321/334,6256/821 is 17/274214.
To find the highest common factor of 5321,6256, we have to find the factors of both numbers and list the highest common factor.
The factors of 5321 are 1, 17, 313, 5321
The factors of 6256 are 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256
The HCF of 5321,6256 is 17.
Lets's calculate GCF of 5321,6256
17 | 5321, 6256 |
313, 368 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 5321
:1,17,313,5321
Now, list down the factors of 6256
:1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256
Greatest Common Factor
We found the factors 5321,6256 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,6256 is 17.
Lets's calculate LCM of 334,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 274214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/274214
Therefore, the GCF of Fractions 5321/334,6256/821 is 17/274214
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 334,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,821) x common factors =1 x 1 = 1
LCM(334,821) = ( 334 × 821 ) / 1
LCM(334,821) = 274214 / 1
LCM(334,821) = 274214
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5321,6256?
The HCF of 5321,6256 is 17
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 5321/334, 6256/821?
Answer: GCF of Numerators as per given numbers 5321/334, 6256/821 is
GCF of Numerators i.e. for 5321,6256 is 17
LCM of denominators i.e. for 334,821 is 274214.
Thus, GCF of Fractions is 17/274214.Finally, GCF of Fractions for 5321/334, 6256/821 is 17/274214.