Use our free GCF of Fractions Calculator tool to compute the GCF of 776/344, 546/179 i.e 2/61576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/344, 546/179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/344,546/179
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 776/344,546/179, numerators are 776,546
Denominators are 344,179
The GCF of 776,546 is 2 .
LCM of 344,179 is 61576.
The greatest common factor of 776/344,546/179 = [GCF of 776,546]/[LCM of 344,179]= 2/61576
Therefore, the GCF of 776/344,546/179 is 2/61576.
To find the highest common factor of 776,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 776,546 is 2.
Lets's calculate GCF of 776,546
2 | 776, 546 |
388, 273 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 776,546 . The biggest common factor number is the GCF number.
So the greatest common factor 776,546 is 2.
Lets's calculate LCM of 344,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 61576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61576
Therefore, the GCF of Fractions 776/344,546/179 is 2/61576
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 344,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,179) x common factors =1 x 1 = 1
LCM(344,179) = ( 344 × 179 ) / 1
LCM(344,179) = 61576 / 1
LCM(344,179) = 61576
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 776,546?
The HCF of 776,546 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 776/344, 546/179?
Answer: GCF of Numerators as per given numbers 776/344, 546/179 is
GCF of Numerators i.e. for 776,546 is 2
LCM of denominators i.e. for 344,179 is 61576.
Thus, GCF of Fractions is 2/61576.Finally, GCF of Fractions for 776/344, 546/179 is 2/61576.