Use our free GCF of Fractions Calculator tool to compute the GCF of 142/897, 7966/8588 i.e 2/7703436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 142/897, 7966/8588.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 142/897,7966/8588
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 142/897,7966/8588, numerators are 142,7966
Denominators are 897,8588
The GCF of 142,7966 is 2 .
LCM of 897,8588 is 7703436.
The greatest common factor of 142/897,7966/8588 = [GCF of 142,7966]/[LCM of 897,8588]= 2/7703436
Therefore, the GCF of 142/897,7966/8588 is 2/7703436.
To find the highest common factor of 142,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 142 are 1, 2, 71, 142
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 142,7966 is 2.
Lets's calculate GCF of 142,7966
2 | 142, 7966 |
71, 3983 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 142
:1,2,71,142
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 142,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 142,7966 is 2.
Lets's calculate LCM of 897,8588
Given numbers has no common factors except 1. So, there LCM is their product i.e 7703436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7703436
Therefore, the GCF of Fractions 142/897,7966/8588 is 2/7703436
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 897,8588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,8588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,8588) x common factors =1 x 1 = 1
LCM(897,8588) = ( 897 × 8588 ) / 1
LCM(897,8588) = 7703436 / 1
LCM(897,8588) = 7703436
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 142,7966?
The HCF of 142,7966 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 142/897, 7966/8588?
Answer: GCF of Numerators as per given numbers 142/897, 7966/8588 is
GCF of Numerators i.e. for 142,7966 is 2
LCM of denominators i.e. for 897,8588 is 7703436.
Thus, GCF of Fractions is 2/7703436.Finally, GCF of Fractions for 142/897, 7966/8588 is 2/7703436.