GCF of 37/37, 992/19, 308/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 37/37, 992/19, 308/111 i.e 1/2109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/37, 992/19, 308/111.
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 37/37,992/19,308/111?
Given fractions are 37/37,992/19,308/111
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 37/37,992/19,308/111, numerators are 37,992,308
Denominators are 37,19,111
The GCF of 37,992,308 is 1 .
LCM of 37,19,111 is 2109.
The greatest common factor of 37/37,992/19,308/111 = [GCF of 37,992,308]/[LCM of 37,19,111]= 1/2109
Therefore, the GCF of 37/37,992/19,308/111 is 1/2109.
To find the highest common factor of 37,992,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 37,992,308 is 1.
Lets's calculate GCF of 37,992,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 37,992,308 By Matching Biggest Common Factor Method
Now, list down the factors of 37
:1,37
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
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 37,992,308 . The biggest common factor number is the GCF number.
So the greatest common factor 37,992,308 is 1.
Lets's calculate LCM of 37,19,111
| 37 | 37, 19, 111 |
| 1, 19, 3 |
∴ So the LCM of the given numbers is 37 x 1 x 19 x 3 = 2109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2109
Therefore, the GCF of Fractions 37/37,992/19,308/111 is 1/2109
Least Common Multiple of 37,19,111 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 37,19,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,19,111) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(37,19,111) x common factors =1 x 37 = 37
LCM(37,19,111) = ( 37 × 19 × 111 ) / 37
LCM(37,19,111) = 78033 / 37
LCM(37,19,111) = 2109
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FAQs on GCF of Fractions of 37/37, 992/19, 308/111
1. What is the HCF of 37,992,308?
The HCF of 37,992,308 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 37/37, 992/19, 308/111?
Answer: GCF of Numerators as per given numbers 37/37, 992/19, 308/111 is
GCF of Numerators i.e. for 37,992,308 is 1
LCM of denominators i.e. for 37,19,111 is 2109.
Thus, GCF of Fractions is 1/2109.Finally, GCF of Fractions for 37/37, 992/19, 308/111 is 1/2109.