Use our free GCF of Fractions Calculator tool to compute the GCF of 226/127, 336/670 i.e 2/85090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/127, 336/670.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 226/127,336/670
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 226/127,336/670, numerators are 226,336
Denominators are 127,670
The GCF of 226,336 is 2 .
LCM of 127,670 is 85090.
The greatest common factor of 226/127,336/670 = [GCF of 226,336]/[LCM of 127,670]= 2/85090
Therefore, the GCF of 226/127,336/670 is 2/85090.
To find the highest common factor of 226,336, we have to find the factors of both numbers and list the highest common factor.
The factors of 226 are 1, 2, 113, 226
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 226,336 is 2.
Lets's calculate GCF of 226,336
2 | 226, 336 |
113, 168 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 226,336 . The biggest common factor number is the GCF number.
So the greatest common factor 226,336 is 2.
Lets's calculate LCM of 127,670
Given numbers has no common factors except 1. So, there LCM is their product i.e 85090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85090
Therefore, the GCF of Fractions 226/127,336/670 is 2/85090
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 127,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,670) x common factors =1 x 1 = 1
LCM(127,670) = ( 127 × 670 ) / 1
LCM(127,670) = 85090 / 1
LCM(127,670) = 85090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 226,336?
The HCF of 226,336 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 226/127, 336/670?
Answer: GCF of Numerators as per given numbers 226/127, 336/670 is
GCF of Numerators i.e. for 226,336 is 2
LCM of denominators i.e. for 127,670 is 85090.
Thus, GCF of Fractions is 2/85090.Finally, GCF of Fractions for 226/127, 336/670 is 2/85090.