Use our free GCF of Fractions Calculator tool to compute the GCF of 249/927, 262/739 i.e 1/685053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/927, 262/739.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/927,262/739
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 249/927,262/739, numerators are 249,262
Denominators are 927,739
The GCF of 249,262 is 1 .
LCM of 927,739 is 685053.
The greatest common factor of 249/927,262/739 = [GCF of 249,262]/[LCM of 927,739]= 1/685053
Therefore, the GCF of 249/927,262/739 is 1/685053.
To find the highest common factor of 249,262, we have to find the factors of both numbers and list the highest common factor.
The factors of 249 are 1, 3, 83, 249
The factors of 262 are 1, 2, 131, 262
The HCF of 249,262 is 1.
Lets's calculate GCF of 249,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 262
:1,2,131,262
Greatest Common Factor
We found the factors 249,262 . The biggest common factor number is the GCF number.
So the greatest common factor 249,262 is 1.
Lets's calculate LCM of 927,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 685053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/685053
Therefore, the GCF of Fractions 249/927,262/739 is 1/685053
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 927,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,739) x common factors =1 x 1 = 1
LCM(927,739) = ( 927 × 739 ) / 1
LCM(927,739) = 685053 / 1
LCM(927,739) = 685053
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 249,262?
The HCF of 249,262 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 249/927, 262/739?
Answer: GCF of Numerators as per given numbers 249/927, 262/739 is
GCF of Numerators i.e. for 249,262 is 1
LCM of denominators i.e. for 927,739 is 685053.
Thus, GCF of Fractions is 1/685053.Finally, GCF of Fractions for 249/927, 262/739 is 1/685053.