GCF of 226/68, 308/6858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/68, 308/6858 i.e 2/233172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/68, 308/6858.
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 226/68,308/6858?
Given fractions are 226/68,308/6858
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 226/68,308/6858, numerators are 226,308
Denominators are 68,6858
The GCF of 226,308 is 2 .
LCM of 68,6858 is 233172.
The greatest common factor of 226/68,308/6858 = [GCF of 226,308]/[LCM of 68,6858]= 2/233172
Therefore, the GCF of 226/68,308/6858 is 2/233172.
To find the highest common factor of 226,308, 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 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 226,308 is 2.
Lets's calculate GCF of 226,308
| 2 | 226, 308 |
| 113, 154 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 226,308 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 226,308 . The biggest common factor number is the GCF number.
So the greatest common factor 226,308 is 2.
Lets's calculate LCM of 68,6858
| 2 | 68, 6858 |
| 34, 3429 |
∴ So the LCM of the given numbers is 2 x 34 x 3429 = 233172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233172
Therefore, the GCF of Fractions 226/68,308/6858 is 2/233172
Least Common Multiple of 68,6858 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 68,6858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,6858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,6858) x common factors =2 x 1 = 2
LCM(68,6858) = ( 68 × 6858 ) / 2
LCM(68,6858) = 466344 / 2
LCM(68,6858) = 233172
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FAQs on GCF of Fractions of 226/68, 308/6858
1. What is the HCF of 226,308?
The HCF of 226,308 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 226/68, 308/6858?
Answer: GCF of Numerators as per given numbers 226/68, 308/6858 is
GCF of Numerators i.e. for 226,308 is 2
LCM of denominators i.e. for 68,6858 is 233172.
Thus, GCF of Fractions is 2/233172.Finally, GCF of Fractions for 226/68, 308/6858 is 2/233172.