Use our free GCF of Fractions Calculator tool to compute the GCF of 567/272, 496/574 i.e 1/78064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/272, 496/574.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/272,496/574
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 567/272,496/574, numerators are 567,496
Denominators are 272,574
The GCF of 567,496 is 1 .
LCM of 272,574 is 78064.
The greatest common factor of 567/272,496/574 = [GCF of 567,496]/[LCM of 272,574]= 1/78064
Therefore, the GCF of 567/272,496/574 is 1/78064.
To find the highest common factor of 567,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 567,496 is 1.
Lets's calculate GCF of 567,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 567,496 . The biggest common factor number is the GCF number.
So the greatest common factor 567,496 is 1.
Lets's calculate LCM of 272,574
2 | 272, 574 |
136, 287 |
∴ So the LCM of the given numbers is 2 x 136 x 287 = 78064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78064
Therefore, the GCF of Fractions 567/272,496/574 is 1/78064
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 272,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,574) x common factors =2 x 1 = 2
LCM(272,574) = ( 272 × 574 ) / 2
LCM(272,574) = 156128 / 2
LCM(272,574) = 78064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 567,496?
The HCF of 567,496 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 567/272, 496/574?
Answer: GCF of Numerators as per given numbers 567/272, 496/574 is
GCF of Numerators i.e. for 567,496 is 1
LCM of denominators i.e. for 272,574 is 78064.
Thus, GCF of Fractions is 1/78064.Finally, GCF of Fractions for 567/272, 496/574 is 1/78064.