GCF of 1331/372, 9139/1932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1331/372, 9139/1932 i.e 1/59892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1331/372, 9139/1932.
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 1331/372,9139/1932?
Given fractions are 1331/372,9139/1932
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 1331/372,9139/1932, numerators are 1331,9139
Denominators are 372,1932
The GCF of 1331,9139 is 1 .
LCM of 372,1932 is 59892.
The greatest common factor of 1331/372,9139/1932 = [GCF of 1331,9139]/[LCM of 372,1932]= 1/59892
Therefore, the GCF of 1331/372,9139/1932 is 1/59892.
To find the highest common factor of 1331,9139, we have to find the factors of both numbers and list the highest common factor.
The factors of 1331 are 1, 11, 121, 1331
The factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139
The HCF of 1331,9139 is 1.
Lets's calculate GCF of 1331,9139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1331,9139 By Matching Biggest Common Factor Method
Now, list down the factors of 1331
:1,11,121,1331
Now, list down the factors of 9139
:1,13,19,37,247,481,703,9139
Greatest Common Factor
We found the factors 1331,9139 . The biggest common factor number is the GCF number.
So the greatest common factor 1331,9139 is 1.
Lets's calculate LCM of 372,1932
| 2 | 372, 1932 |
| 2 | 186, 966 |
| 3 | 93, 483 |
| 31, 161 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 161 = 59892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59892
Therefore, the GCF of Fractions 1331/372,9139/1932 is 1/59892
Least Common Multiple of 372,1932 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 372,1932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,1932) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(372,1932) x common factors =12 x 1 = 12
LCM(372,1932) = ( 372 × 1932 ) / 12
LCM(372,1932) = 718704 / 12
LCM(372,1932) = 59892
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FAQs on GCF of Fractions of 1331/372, 9139/1932
1. What is the HCF of 1331,9139?
The HCF of 1331,9139 is 1
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 1331/372, 9139/1932?
Answer: GCF of Numerators as per given numbers 1331/372, 9139/1932 is
GCF of Numerators i.e. for 1331,9139 is 1
LCM of denominators i.e. for 372,1932 is 59892.
Thus, GCF of Fractions is 1/59892.Finally, GCF of Fractions for 1331/372, 9139/1932 is 1/59892.