Use our free GCF of Fractions Calculator tool to compute the GCF of 262/337, 786/667 i.e 262/224779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/337, 786/667.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/337,786/667
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 262/337,786/667, numerators are 262,786
Denominators are 337,667
The GCF of 262,786 is 262 .
LCM of 337,667 is 224779.
The greatest common factor of 262/337,786/667 = [GCF of 262,786]/[LCM of 337,667]= 262/224779
Therefore, the GCF of 262/337,786/667 is 262/224779.
To find the highest common factor of 262,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 262 are 1, 2, 131, 262
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 262,786 is 262.
Lets's calculate GCF of 262,786
2 | 262, 786 |
131 | 131, 393 |
1, 3 |
∴ So the GCF of the given numbers is 2 x 131 = 262
Now, list down the factors of 262
:1,2,131,262
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 262,786 . The biggest common factor number is the GCF number.
So the greatest common factor 262,786 is 262.
Lets's calculate LCM of 337,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 224779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 262/224779
Therefore, the GCF of Fractions 262/337,786/667 is 262/224779
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 337,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,667) x common factors =1 x 1 = 1
LCM(337,667) = ( 337 × 667 ) / 1
LCM(337,667) = 224779 / 1
LCM(337,667) = 224779
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 262,786?
The HCF of 262,786 is 262
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 262/337, 786/667?
Answer: GCF of Numerators as per given numbers 262/337, 786/667 is
GCF of Numerators i.e. for 262,786 is 262
LCM of denominators i.e. for 337,667 is 224779.
Thus, GCF of Fractions is 262/224779.Finally, GCF of Fractions for 262/337, 786/667 is 262/224779.