GCF of 572/36, 313/12, 400/19
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 572/36, 313/12, 400/19 i.e 1/684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/36, 313/12, 400/19.
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 572/36,313/12,400/19?
Given fractions are 572/36,313/12,400/19
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 572/36,313/12,400/19, numerators are 572,313,400
Denominators are 36,12,19
The GCF of 572,313,400 is 1 .
LCM of 36,12,19 is 684.
The greatest common factor of 572/36,313/12,400/19 = [GCF of 572,313,400]/[LCM of 36,12,19]= 1/684
Therefore, the GCF of 572/36,313/12,400/19 is 1/684.
To find the highest common factor of 572,313,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The factors of 313 are 1, 313
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 572,313,400 is 1.
Lets's calculate GCF of 572,313,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 572,313,400 By Matching Biggest Common Factor Method
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Now, list down the factors of 313
:1,313
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 572,313,400 . The biggest common factor number is the GCF number.
So the greatest common factor 572,313,400 is 1.
Lets's calculate LCM of 36,12,19
| 2 | 36, 12, 19 |
| 2 | 18, 6, 19 |
| 3 | 9, 3, 19 |
| 1, 3, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 3 x 19 = 684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684
Therefore, the GCF of Fractions 572/36,313/12,400/19 is 1/684
Least Common Multiple of 36,12,19 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 36,12,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,12,19) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(36,12,19) x common factors =1 x 12 = 12
LCM(36,12,19) = ( 36 × 12 × 19 ) / 12
LCM(36,12,19) = 8208 / 12
LCM(36,12,19) = 684
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FAQs on GCF of Fractions of 572/36, 313/12, 400/19
1. What is the HCF of 572,313,400?
The HCF of 572,313,400 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 572/36, 313/12, 400/19?
Answer: GCF of Numerators as per given numbers 572/36, 313/12, 400/19 is
GCF of Numerators i.e. for 572,313,400 is 1
LCM of denominators i.e. for 36,12,19 is 684.
Thus, GCF of Fractions is 1/684.Finally, GCF of Fractions for 572/36, 313/12, 400/19 is 1/684.