Use our free GCF of Fractions Calculator tool to compute the GCF of 5/87, 87/67, 97/353, 313/865 i.e 1/1779856005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5/87, 87/67, 97/353, 313/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/87,87/67,97/353,313/865
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 5/87,87/67,97/353,313/865, numerators are 5,87,97,313
Denominators are 87,67,353,865
The GCF of 5,87,97,313 is 1 .
LCM of 87,67,353,865 is 1779856005.
The greatest common factor of 5/87,87/67,97/353,313/865 = [GCF of 5,87,97,313]/[LCM of 87,67,353,865]= 1/1779856005
Therefore, the GCF of 5/87,87/67,97/353,313/865 is 1/1779856005.
To find the highest common factor of 5,87,97,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 5 are 1, 5
The factors of 87 are 1, 3, 29, 87
The factors of 97 are 1, 97
The factors of 313 are 1, 313
The HCF of 5,87,97,313 is 1.
Lets's calculate GCF of 5,87,97,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5
:1,5
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 97
:1,97
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 5,87,97,313 . The biggest common factor number is the GCF number.
So the greatest common factor 5,87,97,313 is 1.
Lets's calculate LCM of 87,67,353,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 1779856005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1779856005
Therefore, the GCF of Fractions 5/87,87/67,97/353,313/865 is 1/1779856005
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 87,67,353,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,67,353,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,67,353,865) x common factors =1 x 1 = 1
LCM(87,67,353,865) = ( 87 × 67 × 353 × 865 ) / 1
LCM(87,67,353,865) = 1779856005 / 1
LCM(87,67,353,865) = 1779856005
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5,87,97,313?
The HCF of 5,87,97,313 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 5/87, 87/67, 97/353, 313/865?
Answer: GCF of Numerators as per given numbers 5/87, 87/67, 97/353, 313/865 is
GCF of Numerators i.e. for 5,87,97,313 is 1
LCM of denominators i.e. for 87,67,353,865 is 1779856005.
Thus, GCF of Fractions is 1/1779856005.Finally, GCF of Fractions for 5/87, 87/67, 97/353, 313/865 is 1/1779856005.