Use our free GCF of Fractions Calculator tool to compute the GCF of 249/754, 847/992 i.e 1/373984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/754, 847/992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/754,847/992
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 249/754,847/992, numerators are 249,847
Denominators are 754,992
The GCF of 249,847 is 1 .
LCM of 754,992 is 373984.
The greatest common factor of 249/754,847/992 = [GCF of 249,847]/[LCM of 754,992]= 1/373984
Therefore, the GCF of 249/754,847/992 is 1/373984.
To find the highest common factor of 249,847, 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 847 are 1, 7, 11, 77, 121, 847
The HCF of 249,847 is 1.
Lets's calculate GCF of 249,847
∴ 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 847
:1,7,11,77,121,847
Greatest Common Factor
We found the factors 249,847 . The biggest common factor number is the GCF number.
So the greatest common factor 249,847 is 1.
Lets's calculate LCM of 754,992
2 | 754, 992 |
377, 496 |
∴ So the LCM of the given numbers is 2 x 377 x 496 = 373984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373984
Therefore, the GCF of Fractions 249/754,847/992 is 1/373984
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 754,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,992) x common factors =2 x 1 = 2
LCM(754,992) = ( 754 × 992 ) / 2
LCM(754,992) = 747968 / 2
LCM(754,992) = 373984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 249,847?
The HCF of 249,847 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 249/754, 847/992?
Answer: GCF of Numerators as per given numbers 249/754, 847/992 is
GCF of Numerators i.e. for 249,847 is 1
LCM of denominators i.e. for 754,992 is 373984.
Thus, GCF of Fractions is 1/373984.Finally, GCF of Fractions for 249/754, 847/992 is 1/373984.