Use our free GCF of Fractions Calculator tool to compute the GCF of 7769/247, 5403/1106 i.e 1/273182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7769/247, 5403/1106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7769/247,5403/1106
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 7769/247,5403/1106, numerators are 7769,5403
Denominators are 247,1106
The GCF of 7769,5403 is 1 .
LCM of 247,1106 is 273182.
The greatest common factor of 7769/247,5403/1106 = [GCF of 7769,5403]/[LCM of 247,1106]= 1/273182
Therefore, the GCF of 7769/247,5403/1106 is 1/273182.
To find the highest common factor of 7769,5403, we have to find the factors of both numbers and list the highest common factor.
The factors of 7769 are 1, 17, 457, 7769
The factors of 5403 are 1, 3, 1801, 5403
The HCF of 7769,5403 is 1.
Lets's calculate GCF of 7769,5403
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7769
:1,17,457,7769
Now, list down the factors of 5403
:1,3,1801,5403
Greatest Common Factor
We found the factors 7769,5403 . The biggest common factor number is the GCF number.
So the greatest common factor 7769,5403 is 1.
Lets's calculate LCM of 247,1106
Given numbers has no common factors except 1. So, there LCM is their product i.e 273182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273182
Therefore, the GCF of Fractions 7769/247,5403/1106 is 1/273182
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 247,1106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,1106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,1106) x common factors =1 x 1 = 1
LCM(247,1106) = ( 247 × 1106 ) / 1
LCM(247,1106) = 273182 / 1
LCM(247,1106) = 273182
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7769,5403?
The HCF of 7769,5403 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 7769/247, 5403/1106?
Answer: GCF of Numerators as per given numbers 7769/247, 5403/1106 is
GCF of Numerators i.e. for 7769,5403 is 1
LCM of denominators i.e. for 247,1106 is 273182.
Thus, GCF of Fractions is 1/273182.Finally, GCF of Fractions for 7769/247, 5403/1106 is 1/273182.