Use our free GCF of Fractions Calculator tool to compute the GCF of 741/247, 762/290 i.e 3/71630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/247, 762/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/247,762/290
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 741/247,762/290, numerators are 741,762
Denominators are 247,290
The GCF of 741,762 is 3 .
LCM of 247,290 is 71630.
The greatest common factor of 741/247,762/290 = [GCF of 741,762]/[LCM of 247,290]= 3/71630
Therefore, the GCF of 741/247,762/290 is 3/71630.
To find the highest common factor of 741,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 741,762 is 3.
Lets's calculate GCF of 741,762
3 | 741, 762 |
247, 254 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 741,762 . The biggest common factor number is the GCF number.
So the greatest common factor 741,762 is 3.
Lets's calculate LCM of 247,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 71630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71630
Therefore, the GCF of Fractions 741/247,762/290 is 3/71630
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 247,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,290) x common factors =1 x 1 = 1
LCM(247,290) = ( 247 × 290 ) / 1
LCM(247,290) = 71630 / 1
LCM(247,290) = 71630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 741,762?
The HCF of 741,762 is 3
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 741/247, 762/290?
Answer: GCF of Numerators as per given numbers 741/247, 762/290 is
GCF of Numerators i.e. for 741,762 is 3
LCM of denominators i.e. for 247,290 is 71630.
Thus, GCF of Fractions is 3/71630.Finally, GCF of Fractions for 741/247, 762/290 is 3/71630.