GCF of 19/68, 57/96, 18/29, 37/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 19/68, 57/96, 18/29, 37/952 i.e 1/331296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/68, 57/96, 18/29, 37/952.
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 19/68,57/96,18/29,37/952?
Given fractions are 19/68,57/96,18/29,37/952
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 19/68,57/96,18/29,37/952, numerators are 19,57,18,37
Denominators are 68,96,29,952
The GCF of 19,57,18,37 is 1 .
LCM of 68,96,29,952 is 331296.
The greatest common factor of 19/68,57/96,18/29,37/952 = [GCF of 19,57,18,37]/[LCM of 68,96,29,952]= 1/331296
Therefore, the GCF of 19/68,57/96,18/29,37/952 is 1/331296.
To find the highest common factor of 19,57,18,37, we have to find the factors of both numbers and list the highest common factor.
The factors of 19 are 1, 19
The factors of 57 are 1, 3, 19, 57
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 37 are 1, 37
The HCF of 19,57,18,37 is 1.
Lets's calculate GCF of 19,57,18,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 19,57,18,37 By Matching Biggest Common Factor Method
Now, list down the factors of 19
:1,19
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 37
:1,37
Greatest Common Factor
We found the factors 19,57,18,37 . The biggest common factor number is the GCF number.
So the greatest common factor 19,57,18,37 is 1.
Lets's calculate LCM of 68,96,29,952
| 2 | 68, 96, 29, 952 |
| 2 | 34, 48, 29, 476 |
| 2 | 17, 24, 29, 238 |
| 17 | 17, 12, 29, 119 |
| 1, 12, 29, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 12 x 29 x 7 = 331296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331296
Therefore, the GCF of Fractions 19/68,57/96,18/29,37/952 is 1/331296
Least Common Multiple of 68,96,29,952 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 68,96,29,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,96,29,952) = 1
common factors(in case of two or more numbers have common factors) = 544
GCF(68,96,29,952) x common factors =1 x 544 = 544
LCM(68,96,29,952) = ( 68 × 96 × 29 × 952 ) / 544
LCM(68,96,29,952) = 180225024 / 544
LCM(68,96,29,952) = 331296
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 19/68, 57/96, 18/29, 37/952
1. What is the HCF of 19,57,18,37?
The HCF of 19,57,18,37 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 19/68, 57/96, 18/29, 37/952?
Answer: GCF of Numerators as per given numbers 19/68, 57/96, 18/29, 37/952 is
GCF of Numerators i.e. for 19,57,18,37 is 1
LCM of denominators i.e. for 68,96,29,952 is 331296.
Thus, GCF of Fractions is 1/331296.Finally, GCF of Fractions for 19/68, 57/96, 18/29, 37/952 is 1/331296.