Use our free GCF of Fractions Calculator tool to compute the GCF of 433/947, 2541/9730 i.e 1/9214310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/947, 2541/9730.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/947,2541/9730
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 433/947,2541/9730, numerators are 433,2541
Denominators are 947,9730
The GCF of 433,2541 is 1 .
LCM of 947,9730 is 9214310.
The greatest common factor of 433/947,2541/9730 = [GCF of 433,2541]/[LCM of 947,9730]= 1/9214310
Therefore, the GCF of 433/947,2541/9730 is 1/9214310.
To find the highest common factor of 433,2541, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
The HCF of 433,2541 is 1.
Lets's calculate GCF of 433,2541
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 433
:1,433
Now, list down the factors of 2541
:1,3,7,11,21,33,77,121,231,363,847,2541
Greatest Common Factor
We found the factors 433,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 433,2541 is 1.
Lets's calculate LCM of 947,9730
Given numbers has no common factors except 1. So, there LCM is their product i.e 9214310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9214310
Therefore, the GCF of Fractions 433/947,2541/9730 is 1/9214310
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 947,9730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,9730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,9730) x common factors =1 x 1 = 1
LCM(947,9730) = ( 947 × 9730 ) / 1
LCM(947,9730) = 9214310 / 1
LCM(947,9730) = 9214310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 433,2541?
The HCF of 433,2541 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 433/947, 2541/9730?
Answer: GCF of Numerators as per given numbers 433/947, 2541/9730 is
GCF of Numerators i.e. for 433,2541 is 1
LCM of denominators i.e. for 947,9730 is 9214310.
Thus, GCF of Fractions is 1/9214310.Finally, GCF of Fractions for 433/947, 2541/9730 is 1/9214310.