GCF of 226/29, 292/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/29, 292/338 i.e 2/9802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/29, 292/338.
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 226/29,292/338?
Given fractions are 226/29,292/338
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 226/29,292/338, numerators are 226,292
Denominators are 29,338
The GCF of 226,292 is 2 .
LCM of 29,338 is 9802.
The greatest common factor of 226/29,292/338 = [GCF of 226,292]/[LCM of 29,338]= 2/9802
Therefore, the GCF of 226/29,292/338 is 2/9802.
To find the highest common factor of 226,292, 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 292 are 1, 2, 4, 73, 146, 292
The HCF of 226,292 is 2.
Lets's calculate GCF of 226,292
| 2 | 226, 292 |
| 113, 146 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 226,292 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 226,292 . The biggest common factor number is the GCF number.
So the greatest common factor 226,292 is 2.
Lets's calculate LCM of 29,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 9802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9802
Therefore, the GCF of Fractions 226/29,292/338 is 2/9802
Least Common Multiple of 29,338 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 29,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,338) x common factors =1 x 1 = 1
LCM(29,338) = ( 29 × 338 ) / 1
LCM(29,338) = 9802 / 1
LCM(29,338) = 9802
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FAQs on GCF of Fractions of 226/29, 292/338
1. What is the HCF of 226,292?
The HCF of 226,292 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 226/29, 292/338?
Answer: GCF of Numerators as per given numbers 226/29, 292/338 is
GCF of Numerators i.e. for 226,292 is 2
LCM of denominators i.e. for 29,338 is 9802.
Thus, GCF of Fractions is 2/9802.Finally, GCF of Fractions for 226/29, 292/338 is 2/9802.