Use our free GCF of Fractions Calculator tool to compute the GCF of 7382/262, 4946/8982 i.e 2/1176642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7382/262, 4946/8982.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7382/262,4946/8982
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 7382/262,4946/8982, numerators are 7382,4946
Denominators are 262,8982
The GCF of 7382,4946 is 2 .
LCM of 262,8982 is 1176642.
The greatest common factor of 7382/262,4946/8982 = [GCF of 7382,4946]/[LCM of 262,8982]= 2/1176642
Therefore, the GCF of 7382/262,4946/8982 is 2/1176642.
To find the highest common factor of 7382,4946, we have to find the factors of both numbers and list the highest common factor.
The factors of 7382 are 1, 2, 3691, 7382
The factors of 4946 are 1, 2, 2473, 4946
The HCF of 7382,4946 is 2.
Lets's calculate GCF of 7382,4946
2 | 7382, 4946 |
3691, 2473 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7382
:1,2,3691,7382
Now, list down the factors of 4946
:1,2,2473,4946
Greatest Common Factor
We found the factors 7382,4946 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,4946 is 2.
Lets's calculate LCM of 262,8982
2 | 262, 8982 |
131, 4491 |
∴ So the LCM of the given numbers is 2 x 131 x 4491 = 1176642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1176642
Therefore, the GCF of Fractions 7382/262,4946/8982 is 2/1176642
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 262,8982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,8982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,8982) x common factors =2 x 1 = 2
LCM(262,8982) = ( 262 × 8982 ) / 2
LCM(262,8982) = 2353284 / 2
LCM(262,8982) = 1176642
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7382,4946?
The HCF of 7382,4946 is 2
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 7382/262, 4946/8982?
Answer: GCF of Numerators as per given numbers 7382/262, 4946/8982 is
GCF of Numerators i.e. for 7382,4946 is 2
LCM of denominators i.e. for 262,8982 is 1176642.
Thus, GCF of Fractions is 2/1176642.Finally, GCF of Fractions for 7382/262, 4946/8982 is 2/1176642.