Use our free GCF of Fractions Calculator tool to compute the GCF of 176/493, 756/338 i.e 4/166634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/493, 756/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/493,756/338
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 176/493,756/338, numerators are 176,756
Denominators are 493,338
The GCF of 176,756 is 4 .
LCM of 493,338 is 166634.
The greatest common factor of 176/493,756/338 = [GCF of 176,756]/[LCM of 493,338]= 4/166634
Therefore, the GCF of 176/493,756/338 is 4/166634.
To find the highest common factor of 176,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 176,756 is 4.
Lets's calculate GCF of 176,756
2 | 176, 756 |
2 | 88, 378 |
44, 189 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 176,756 . The biggest common factor number is the GCF number.
So the greatest common factor 176,756 is 4.
Lets's calculate LCM of 493,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 166634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/166634
Therefore, the GCF of Fractions 176/493,756/338 is 4/166634
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 493,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,338) x common factors =1 x 1 = 1
LCM(493,338) = ( 493 × 338 ) / 1
LCM(493,338) = 166634 / 1
LCM(493,338) = 166634
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 176,756?
The HCF of 176,756 is 4
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 176/493, 756/338?
Answer: GCF of Numerators as per given numbers 176/493, 756/338 is
GCF of Numerators i.e. for 176,756 is 4
LCM of denominators i.e. for 493,338 is 166634.
Thus, GCF of Fractions is 4/166634.Finally, GCF of Fractions for 176/493, 756/338 is 4/166634.