Use our free GCF of Fractions Calculator tool to compute the GCF of 2783/437, 7267/6411 i.e 1/2801607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2783/437, 7267/6411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2783/437,7267/6411
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 2783/437,7267/6411, numerators are 2783,7267
Denominators are 437,6411
The GCF of 2783,7267 is 1 .
LCM of 437,6411 is 2801607.
The greatest common factor of 2783/437,7267/6411 = [GCF of 2783,7267]/[LCM of 437,6411]= 1/2801607
Therefore, the GCF of 2783/437,7267/6411 is 1/2801607.
To find the highest common factor of 2783,7267, we have to find the factors of both numbers and list the highest common factor.
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The HCF of 2783,7267 is 1.
Lets's calculate GCF of 2783,7267
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2783
:1,11,23,121,253,2783
Now, list down the factors of 7267
:1,13,43,169,559,7267
Greatest Common Factor
We found the factors 2783,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 2783,7267 is 1.
Lets's calculate LCM of 437,6411
Given numbers has no common factors except 1. So, there LCM is their product i.e 2801607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2801607
Therefore, the GCF of Fractions 2783/437,7267/6411 is 1/2801607
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 437,6411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,6411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,6411) x common factors =1 x 1 = 1
LCM(437,6411) = ( 437 × 6411 ) / 1
LCM(437,6411) = 2801607 / 1
LCM(437,6411) = 2801607
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2783,7267?
The HCF of 2783,7267 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 2783/437, 7267/6411?
Answer: GCF of Numerators as per given numbers 2783/437, 7267/6411 is
GCF of Numerators i.e. for 2783,7267 is 1
LCM of denominators i.e. for 437,6411 is 2801607.
Thus, GCF of Fractions is 1/2801607.Finally, GCF of Fractions for 2783/437, 7267/6411 is 1/2801607.