GCF of 342/36, 226/6551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 342/36, 226/6551 i.e 2/235836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/36, 226/6551.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 342/36,226/6551?
Given fractions are 342/36,226/6551
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 342/36,226/6551, numerators are 342,226
Denominators are 36,6551
The GCF of 342,226 is 2 .
LCM of 36,6551 is 235836.
The greatest common factor of 342/36,226/6551 = [GCF of 342,226]/[LCM of 36,6551]= 2/235836
Therefore, the GCF of 342/36,226/6551 is 2/235836.
To find the highest common factor of 342,226, we have to find the factors of both numbers and list the highest common factor.
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 226 are 1, 2, 113, 226
The HCF of 342,226 is 2.
Lets's calculate GCF of 342,226
| 2 | 342, 226 |
| 171, 113 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 342,226 By Matching Biggest Common Factor Method
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 226
:1,2,113,226
Greatest Common Factor
We found the factors 342,226 . The biggest common factor number is the GCF number.
So the greatest common factor 342,226 is 2.
Lets's calculate LCM of 36,6551
Given numbers has no common factors except 1. So, there LCM is their product i.e 235836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/235836
Therefore, the GCF of Fractions 342/36,226/6551 is 2/235836
Least Common Multiple of 36,6551 with GCF Formula
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 36,6551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,6551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,6551) x common factors =1 x 1 = 1
LCM(36,6551) = ( 36 × 6551 ) / 1
LCM(36,6551) = 235836 / 1
LCM(36,6551) = 235836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 342/36, 226/6551
1. What is the HCF of 342,226?
The HCF of 342,226 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 342/36, 226/6551?
Answer: GCF of Numerators as per given numbers 342/36, 226/6551 is
GCF of Numerators i.e. for 342,226 is 2
LCM of denominators i.e. for 36,6551 is 235836.
Thus, GCF of Fractions is 2/235836.Finally, GCF of Fractions for 342/36, 226/6551 is 2/235836.