Use our free GCF of Fractions Calculator tool to compute the GCF of 290/737, 841/782 i.e 29/576334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/737, 841/782.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/737,841/782
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 290/737,841/782, numerators are 290,841
Denominators are 737,782
The GCF of 290,841 is 29 .
LCM of 737,782 is 576334.
The greatest common factor of 290/737,841/782 = [GCF of 290,841]/[LCM of 737,782]= 29/576334
Therefore, the GCF of 290/737,841/782 is 29/576334.
To find the highest common factor of 290,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 841 are 1, 29, 841
The HCF of 290,841 is 29.
Lets's calculate GCF of 290,841
29 | 290, 841 |
10, 29 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 290,841 . The biggest common factor number is the GCF number.
So the greatest common factor 290,841 is 29.
Lets's calculate LCM of 737,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 576334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/576334
Therefore, the GCF of Fractions 290/737,841/782 is 29/576334
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 737,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,782) x common factors =1 x 1 = 1
LCM(737,782) = ( 737 × 782 ) / 1
LCM(737,782) = 576334 / 1
LCM(737,782) = 576334
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,841?
The HCF of 290,841 is 29
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 290/737, 841/782?
Answer: GCF of Numerators as per given numbers 290/737, 841/782 is
GCF of Numerators i.e. for 290,841 is 29
LCM of denominators i.e. for 737,782 is 576334.
Thus, GCF of Fractions is 29/576334.Finally, GCF of Fractions for 290/737, 841/782 is 29/576334.