Use our free GCF of Fractions Calculator tool to compute the GCF of 968/167, 524/843 i.e 4/140781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/167, 524/843.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/167,524/843
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 968/167,524/843, numerators are 968,524
Denominators are 167,843
The GCF of 968,524 is 4 .
LCM of 167,843 is 140781.
The greatest common factor of 968/167,524/843 = [GCF of 968,524]/[LCM of 167,843]= 4/140781
Therefore, the GCF of 968/167,524/843 is 4/140781.
To find the highest common factor of 968,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 968,524 is 4.
Lets's calculate GCF of 968,524
2 | 968, 524 |
2 | 484, 262 |
242, 131 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 968,524 . The biggest common factor number is the GCF number.
So the greatest common factor 968,524 is 4.
Lets's calculate LCM of 167,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 140781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/140781
Therefore, the GCF of Fractions 968/167,524/843 is 4/140781
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 167,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,843) x common factors =1 x 1 = 1
LCM(167,843) = ( 167 × 843 ) / 1
LCM(167,843) = 140781 / 1
LCM(167,843) = 140781
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 968,524?
The HCF of 968,524 is 4
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 968/167, 524/843?
Answer: GCF of Numerators as per given numbers 968/167, 524/843 is
GCF of Numerators i.e. for 968,524 is 4
LCM of denominators i.e. for 167,843 is 140781.
Thus, GCF of Fractions is 4/140781.Finally, GCF of Fractions for 968/167, 524/843 is 4/140781.