Use our free GCF of Fractions Calculator tool to compute the GCF of 506/200, 786/795 i.e 2/31800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/200, 786/795.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/200,786/795
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 506/200,786/795, numerators are 506,786
Denominators are 200,795
The GCF of 506,786 is 2 .
LCM of 200,795 is 31800.
The greatest common factor of 506/200,786/795 = [GCF of 506,786]/[LCM of 200,795]= 2/31800
Therefore, the GCF of 506/200,786/795 is 2/31800.
To find the highest common factor of 506,786, 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 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 506,786 is 2.
Lets's calculate GCF of 506,786
2 | 506, 786 |
253, 393 |
∴ 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 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 506,786 . The biggest common factor number is the GCF number.
So the greatest common factor 506,786 is 2.
Lets's calculate LCM of 200,795
5 | 200, 795 |
40, 159 |
∴ So the LCM of the given numbers is 5 x 40 x 159 = 31800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31800
Therefore, the GCF of Fractions 506/200,786/795 is 2/31800
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 200,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,795) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(200,795) x common factors =5 x 1 = 5
LCM(200,795) = ( 200 × 795 ) / 5
LCM(200,795) = 159000 / 5
LCM(200,795) = 31800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 506,786?
The HCF of 506,786 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 506/200, 786/795?
Answer: GCF of Numerators as per given numbers 506/200, 786/795 is
GCF of Numerators i.e. for 506,786 is 2
LCM of denominators i.e. for 200,795 is 31800.
Thus, GCF of Fractions is 2/31800.Finally, GCF of Fractions for 506/200, 786/795 is 2/31800.