Use our free GCF of Fractions Calculator tool to compute the GCF of 102/228, 716/697 i.e 2/158916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/228, 716/697.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/228,716/697
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 102/228,716/697, numerators are 102,716
Denominators are 228,697
The GCF of 102,716 is 2 .
LCM of 228,697 is 158916.
The greatest common factor of 102/228,716/697 = [GCF of 102,716]/[LCM of 228,697]= 2/158916
Therefore, the GCF of 102/228,716/697 is 2/158916.
To find the highest common factor of 102,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 102,716 is 2.
Lets's calculate GCF of 102,716
2 | 102, 716 |
51, 358 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 102,716 . The biggest common factor number is the GCF number.
So the greatest common factor 102,716 is 2.
Lets's calculate LCM of 228,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 158916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/158916
Therefore, the GCF of Fractions 102/228,716/697 is 2/158916
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 228,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,697) x common factors =1 x 1 = 1
LCM(228,697) = ( 228 × 697 ) / 1
LCM(228,697) = 158916 / 1
LCM(228,697) = 158916
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 102,716?
The HCF of 102,716 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 102/228, 716/697?
Answer: GCF of Numerators as per given numbers 102/228, 716/697 is
GCF of Numerators i.e. for 102,716 is 2
LCM of denominators i.e. for 228,697 is 158916.
Thus, GCF of Fractions is 2/158916.Finally, GCF of Fractions for 102/228, 716/697 is 2/158916.