Use our free GCF of Fractions Calculator tool to compute the GCF of 772/368, 302/847 i.e 2/311696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/368, 302/847.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/368,302/847
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 772/368,302/847, numerators are 772,302
Denominators are 368,847
The GCF of 772,302 is 2 .
LCM of 368,847 is 311696.
The greatest common factor of 772/368,302/847 = [GCF of 772,302]/[LCM of 368,847]= 2/311696
Therefore, the GCF of 772/368,302/847 is 2/311696.
To find the highest common factor of 772,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 772 are 1, 2, 4, 193, 386, 772
The factors of 302 are 1, 2, 151, 302
The HCF of 772,302 is 2.
Lets's calculate GCF of 772,302
2 | 772, 302 |
386, 151 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 772
:1,2,4,193,386,772
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 772,302 . The biggest common factor number is the GCF number.
So the greatest common factor 772,302 is 2.
Lets's calculate LCM of 368,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 311696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311696
Therefore, the GCF of Fractions 772/368,302/847 is 2/311696
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 368,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,847) x common factors =1 x 1 = 1
LCM(368,847) = ( 368 × 847 ) / 1
LCM(368,847) = 311696 / 1
LCM(368,847) = 311696
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 772,302?
The HCF of 772,302 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 772/368, 302/847?
Answer: GCF of Numerators as per given numbers 772/368, 302/847 is
GCF of Numerators i.e. for 772,302 is 2
LCM of denominators i.e. for 368,847 is 311696.
Thus, GCF of Fractions is 2/311696.Finally, GCF of Fractions for 772/368, 302/847 is 2/311696.