Use our free GCF of Fractions Calculator tool to compute the GCF of 7382/891, 4781/3222 i.e 1/318978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7382/891, 4781/3222.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7382/891,4781/3222
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 7382/891,4781/3222, numerators are 7382,4781
Denominators are 891,3222
The GCF of 7382,4781 is 1 .
LCM of 891,3222 is 318978.
The greatest common factor of 7382/891,4781/3222 = [GCF of 7382,4781]/[LCM of 891,3222]= 1/318978
Therefore, the GCF of 7382/891,4781/3222 is 1/318978.
To find the highest common factor of 7382,4781, 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 4781 are 1, 7, 683, 4781
The HCF of 7382,4781 is 1.
Lets's calculate GCF of 7382,4781
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7382
:1,2,3691,7382
Now, list down the factors of 4781
:1,7,683,4781
Greatest Common Factor
We found the factors 7382,4781 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,4781 is 1.
Lets's calculate LCM of 891,3222
3 | 891, 3222 |
3 | 297, 1074 |
99, 358 |
∴ So the LCM of the given numbers is 3 x 3 x 99 x 358 = 318978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318978
Therefore, the GCF of Fractions 7382/891,4781/3222 is 1/318978
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 891,3222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,3222) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(891,3222) x common factors =9 x 1 = 9
LCM(891,3222) = ( 891 × 3222 ) / 9
LCM(891,3222) = 2870802 / 9
LCM(891,3222) = 318978
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7382,4781?
The HCF of 7382,4781 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 7382/891, 4781/3222?
Answer: GCF of Numerators as per given numbers 7382/891, 4781/3222 is
GCF of Numerators i.e. for 7382,4781 is 1
LCM of denominators i.e. for 891,3222 is 318978.
Thus, GCF of Fractions is 1/318978.Finally, GCF of Fractions for 7382/891, 4781/3222 is 1/318978.