Use our free GCF of Fractions Calculator tool to compute the GCF of 1916/849, 1967/7362 i.e 1/2083446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1916/849, 1967/7362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1916/849,1967/7362
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 1916/849,1967/7362, numerators are 1916,1967
Denominators are 849,7362
The GCF of 1916,1967 is 1 .
LCM of 849,7362 is 2083446.
The greatest common factor of 1916/849,1967/7362 = [GCF of 1916,1967]/[LCM of 849,7362]= 1/2083446
Therefore, the GCF of 1916/849,1967/7362 is 1/2083446.
To find the highest common factor of 1916,1967, we have to find the factors of both numbers and list the highest common factor.
The factors of 1916 are 1, 2, 4, 479, 958, 1916
The factors of 1967 are 1, 7, 281, 1967
The HCF of 1916,1967 is 1.
Lets's calculate GCF of 1916,1967
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1916
:1,2,4,479,958,1916
Now, list down the factors of 1967
:1,7,281,1967
Greatest Common Factor
We found the factors 1916,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 1916,1967 is 1.
Lets's calculate LCM of 849,7362
3 | 849, 7362 |
283, 2454 |
∴ So the LCM of the given numbers is 3 x 283 x 2454 = 2083446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2083446
Therefore, the GCF of Fractions 1916/849,1967/7362 is 1/2083446
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 849,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,7362) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,7362) x common factors =3 x 1 = 3
LCM(849,7362) = ( 849 × 7362 ) / 3
LCM(849,7362) = 6250338 / 3
LCM(849,7362) = 2083446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1916,1967?
The HCF of 1916,1967 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 1916/849, 1967/7362?
Answer: GCF of Numerators as per given numbers 1916/849, 1967/7362 is
GCF of Numerators i.e. for 1916,1967 is 1
LCM of denominators i.e. for 849,7362 is 2083446.
Thus, GCF of Fractions is 1/2083446.Finally, GCF of Fractions for 1916/849, 1967/7362 is 1/2083446.