GCF of 38/69, 280/99, 975/933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/69, 280/99, 975/933 i.e 1/708147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/69, 280/99, 975/933.
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 38/69,280/99,975/933?
Given fractions are 38/69,280/99,975/933
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 38/69,280/99,975/933, numerators are 38,280,975
Denominators are 69,99,933
The GCF of 38,280,975 is 1 .
LCM of 69,99,933 is 708147.
The greatest common factor of 38/69,280/99,975/933 = [GCF of 38,280,975]/[LCM of 69,99,933]= 1/708147
Therefore, the GCF of 38/69,280/99,975/933 is 1/708147.
To find the highest common factor of 38,280,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 38,280,975 is 1.
Lets's calculate GCF of 38,280,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 38,280,975 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 38,280,975 . The biggest common factor number is the GCF number.
So the greatest common factor 38,280,975 is 1.
Lets's calculate LCM of 69,99,933
| 3 | 69, 99, 933 |
| 23, 33, 311 |
∴ So the LCM of the given numbers is 3 x 23 x 33 x 311 = 708147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708147
Therefore, the GCF of Fractions 38/69,280/99,975/933 is 1/708147
Least Common Multiple of 69,99,933 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 69,99,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,99,933) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(69,99,933) x common factors =3 x 3 = 9
LCM(69,99,933) = ( 69 × 99 × 933 ) / 9
LCM(69,99,933) = 6373323 / 9
LCM(69,99,933) = 708147
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 38/69, 280/99, 975/933
1. What is the HCF of 38,280,975?
The HCF of 38,280,975 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 38/69, 280/99, 975/933?
Answer: GCF of Numerators as per given numbers 38/69, 280/99, 975/933 is
GCF of Numerators i.e. for 38,280,975 is 1
LCM of denominators i.e. for 69,99,933 is 708147.
Thus, GCF of Fractions is 1/708147.Finally, GCF of Fractions for 38/69, 280/99, 975/933 is 1/708147.