GCF of 226/67, 670/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/67, 670/831 i.e 2/55677 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/67, 670/831.
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 226/67,670/831?
Given fractions are 226/67,670/831
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 226/67,670/831, numerators are 226,670
Denominators are 67,831
The GCF of 226,670 is 2 .
LCM of 67,831 is 55677.
The greatest common factor of 226/67,670/831 = [GCF of 226,670]/[LCM of 67,831]= 2/55677
Therefore, the GCF of 226/67,670/831 is 2/55677.
To find the highest common factor of 226,670, 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 670 are 1, 2, 5, 10, 67, 134, 335, 670
The HCF of 226,670 is 2.
Lets's calculate GCF of 226,670
| 2 | 226, 670 |
| 113, 335 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 226,670 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 226,670 . The biggest common factor number is the GCF number.
So the greatest common factor 226,670 is 2.
Lets's calculate LCM of 67,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 55677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55677
Therefore, the GCF of Fractions 226/67,670/831 is 2/55677
Least Common Multiple of 67,831 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 67,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,831) x common factors =1 x 1 = 1
LCM(67,831) = ( 67 × 831 ) / 1
LCM(67,831) = 55677 / 1
LCM(67,831) = 55677
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FAQs on GCF of Fractions of 226/67, 670/831
1. What is the HCF of 226,670?
The HCF of 226,670 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 226/67, 670/831?
Answer: GCF of Numerators as per given numbers 226/67, 670/831 is
GCF of Numerators i.e. for 226,670 is 2
LCM of denominators i.e. for 67,831 is 55677.
Thus, GCF of Fractions is 2/55677.Finally, GCF of Fractions for 226/67, 670/831 is 2/55677.