Use our free GCF of Fractions Calculator tool to compute the GCF of 506/577, 156/405 i.e 2/233685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/577, 156/405.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/577,156/405
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 506/577,156/405, numerators are 506,156
Denominators are 577,405
The GCF of 506,156 is 2 .
LCM of 577,405 is 233685.
The greatest common factor of 506/577,156/405 = [GCF of 506,156]/[LCM of 577,405]= 2/233685
Therefore, the GCF of 506/577,156/405 is 2/233685.
To find the highest common factor of 506,156, we have to find the factors of both numbers and list the highest common factor.
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The HCF of 506,156 is 2.
Lets's calculate GCF of 506,156
2 | 506, 156 |
253, 78 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 506,156 . The biggest common factor number is the GCF number.
So the greatest common factor 506,156 is 2.
Lets's calculate LCM of 577,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 233685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233685
Therefore, the GCF of Fractions 506/577,156/405 is 2/233685
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 577,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,405) x common factors =1 x 1 = 1
LCM(577,405) = ( 577 × 405 ) / 1
LCM(577,405) = 233685 / 1
LCM(577,405) = 233685
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 506,156?
The HCF of 506,156 is 2
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 506/577, 156/405?
Answer: GCF of Numerators as per given numbers 506/577, 156/405 is
GCF of Numerators i.e. for 506,156 is 2
LCM of denominators i.e. for 577,405 is 233685.
Thus, GCF of Fractions is 2/233685.Finally, GCF of Fractions for 506/577, 156/405 is 2/233685.