GCF of 9422/838, 3234/1241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9422/838, 3234/1241 i.e 14/1039958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9422/838, 3234/1241.
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 9422/838,3234/1241?
Given fractions are 9422/838,3234/1241
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 9422/838,3234/1241, numerators are 9422,3234
Denominators are 838,1241
The GCF of 9422,3234 is 14 .
LCM of 838,1241 is 1039958.
The greatest common factor of 9422/838,3234/1241 = [GCF of 9422,3234]/[LCM of 838,1241]= 14/1039958
Therefore, the GCF of 9422/838,3234/1241 is 14/1039958.
To find the highest common factor of 9422,3234, we have to find the factors of both numbers and list the highest common factor.
The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The HCF of 9422,3234 is 14.
Lets's calculate GCF of 9422,3234
| 2 | 9422, 3234 |
| 7 | 4711, 1617 |
| 673, 231 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9422,3234 By Matching Biggest Common Factor Method
Now, list down the factors of 9422
:1,2,7,14,673,1346,4711,9422
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Greatest Common Factor
We found the factors 9422,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 9422,3234 is 14.
Lets's calculate LCM of 838,1241
Given numbers has no common factors except 1. So, there LCM is their product i.e 1039958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1039958
Therefore, the GCF of Fractions 9422/838,3234/1241 is 14/1039958
Least Common Multiple of 838,1241 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 838,1241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,1241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,1241) x common factors =1 x 1 = 1
LCM(838,1241) = ( 838 × 1241 ) / 1
LCM(838,1241) = 1039958 / 1
LCM(838,1241) = 1039958
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FAQs on GCF of Fractions of 9422/838, 3234/1241
1. What is the HCF of 9422,3234?
The HCF of 9422,3234 is 14
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 9422/838, 3234/1241?
Answer: GCF of Numerators as per given numbers 9422/838, 3234/1241 is
GCF of Numerators i.e. for 9422,3234 is 14
LCM of denominators i.e. for 838,1241 is 1039958.
Thus, GCF of Fractions is 14/1039958.Finally, GCF of Fractions for 9422/838, 3234/1241 is 14/1039958.