Use our free GCF of Fractions Calculator tool to compute the GCF of 4971/267, 9107/5290 i.e 1/1412430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4971/267, 9107/5290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4971/267,9107/5290
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 4971/267,9107/5290, numerators are 4971,9107
Denominators are 267,5290
The GCF of 4971,9107 is 1 .
LCM of 267,5290 is 1412430.
The greatest common factor of 4971/267,9107/5290 = [GCF of 4971,9107]/[LCM of 267,5290]= 1/1412430
Therefore, the GCF of 4971/267,9107/5290 is 1/1412430.
To find the highest common factor of 4971,9107, we have to find the factors of both numbers and list the highest common factor.
The factors of 4971 are 1, 3, 1657, 4971
The factors of 9107 are 1, 7, 1301, 9107
The HCF of 4971,9107 is 1.
Lets's calculate GCF of 4971,9107
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4971
:1,3,1657,4971
Now, list down the factors of 9107
:1,7,1301,9107
Greatest Common Factor
We found the factors 4971,9107 . The biggest common factor number is the GCF number.
So the greatest common factor 4971,9107 is 1.
Lets's calculate LCM of 267,5290
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1412430
Therefore, the GCF of Fractions 4971/267,9107/5290 is 1/1412430
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 267,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,5290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,5290) x common factors =1 x 1 = 1
LCM(267,5290) = ( 267 × 5290 ) / 1
LCM(267,5290) = 1412430 / 1
LCM(267,5290) = 1412430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4971,9107?
The HCF of 4971,9107 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 4971/267, 9107/5290?
Answer: GCF of Numerators as per given numbers 4971/267, 9107/5290 is
GCF of Numerators i.e. for 4971,9107 is 1
LCM of denominators i.e. for 267,5290 is 1412430.
Thus, GCF of Fractions is 1/1412430.Finally, GCF of Fractions for 4971/267, 9107/5290 is 1/1412430.