Use our free GCF of Fractions Calculator tool to compute the GCF of 4962/841, 7163/9312 i.e 1/7831392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4962/841, 7163/9312.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4962/841,7163/9312
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 4962/841,7163/9312, numerators are 4962,7163
Denominators are 841,9312
The GCF of 4962,7163 is 1 .
LCM of 841,9312 is 7831392.
The greatest common factor of 4962/841,7163/9312 = [GCF of 4962,7163]/[LCM of 841,9312]= 1/7831392
Therefore, the GCF of 4962/841,7163/9312 is 1/7831392.
To find the highest common factor of 4962,7163, we have to find the factors of both numbers and list the highest common factor.
The factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962
The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163
The HCF of 4962,7163 is 1.
Lets's calculate GCF of 4962,7163
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4962
:1,2,3,6,827,1654,2481,4962
Now, list down the factors of 7163
:1,13,19,29,247,377,551,7163
Greatest Common Factor
We found the factors 4962,7163 . The biggest common factor number is the GCF number.
So the greatest common factor 4962,7163 is 1.
Lets's calculate LCM of 841,9312
Given numbers has no common factors except 1. So, there LCM is their product i.e 7831392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7831392
Therefore, the GCF of Fractions 4962/841,7163/9312 is 1/7831392
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 841,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,9312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,9312) x common factors =1 x 1 = 1
LCM(841,9312) = ( 841 × 9312 ) / 1
LCM(841,9312) = 7831392 / 1
LCM(841,9312) = 7831392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4962,7163?
The HCF of 4962,7163 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 4962/841, 7163/9312?
Answer: GCF of Numerators as per given numbers 4962/841, 7163/9312 is
GCF of Numerators i.e. for 4962,7163 is 1
LCM of denominators i.e. for 841,9312 is 7831392.
Thus, GCF of Fractions is 1/7831392.Finally, GCF of Fractions for 4962/841, 7163/9312 is 1/7831392.