Use our free GCF of Fractions Calculator tool to compute the GCF of 249/761, 192/907 i.e 3/690227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/761, 192/907.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/761,192/907
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 249/761,192/907, numerators are 249,192
Denominators are 761,907
The GCF of 249,192 is 3 .
LCM of 761,907 is 690227.
The greatest common factor of 249/761,192/907 = [GCF of 249,192]/[LCM of 761,907]= 3/690227
Therefore, the GCF of 249/761,192/907 is 3/690227.
To find the highest common factor of 249,192, 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 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The HCF of 249,192 is 3.
Lets's calculate GCF of 249,192
3 | 249, 192 |
83, 64 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 249,192 . The biggest common factor number is the GCF number.
So the greatest common factor 249,192 is 3.
Lets's calculate LCM of 761,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 690227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/690227
Therefore, the GCF of Fractions 249/761,192/907 is 3/690227
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 761,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,907) x common factors =1 x 1 = 1
LCM(761,907) = ( 761 × 907 ) / 1
LCM(761,907) = 690227 / 1
LCM(761,907) = 690227
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 249,192?
The HCF of 249,192 is 3
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 249/761, 192/907?
Answer: GCF of Numerators as per given numbers 249/761, 192/907 is
GCF of Numerators i.e. for 249,192 is 3
LCM of denominators i.e. for 761,907 is 690227.
Thus, GCF of Fractions is 3/690227.Finally, GCF of Fractions for 249/761, 192/907 is 3/690227.