GCF of 141/15, 607/30, 712/33
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/15, 607/30, 712/33 i.e 1/330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/15, 607/30, 712/33.
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 141/15,607/30,712/33?
Given fractions are 141/15,607/30,712/33
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 141/15,607/30,712/33, numerators are 141,607,712
Denominators are 15,30,33
The GCF of 141,607,712 is 1 .
LCM of 15,30,33 is 330.
The greatest common factor of 141/15,607/30,712/33 = [GCF of 141,607,712]/[LCM of 15,30,33]= 1/330
Therefore, the GCF of 141/15,607/30,712/33 is 1/330.
To find the highest common factor of 141,607,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 607 are 1, 607
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 141,607,712 is 1.
Lets's calculate GCF of 141,607,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 141,607,712 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 607
:1,607
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 141,607,712 . The biggest common factor number is the GCF number.
So the greatest common factor 141,607,712 is 1.
Lets's calculate LCM of 15,30,33
| 3 | 15, 30, 33 |
| 5 | 5, 10, 11 |
| 1, 2, 11 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 2 x 11 = 330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330
Therefore, the GCF of Fractions 141/15,607/30,712/33 is 1/330
Least Common Multiple of 15,30,33 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 15,30,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,30,33) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(15,30,33) x common factors =3 x 15 = 45
LCM(15,30,33) = ( 15 × 30 × 33 ) / 45
LCM(15,30,33) = 14850 / 45
LCM(15,30,33) = 330
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FAQs on GCF of Fractions of 141/15, 607/30, 712/33
1. What is the HCF of 141,607,712?
The HCF of 141,607,712 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 141/15, 607/30, 712/33?
Answer: GCF of Numerators as per given numbers 141/15, 607/30, 712/33 is
GCF of Numerators i.e. for 141,607,712 is 1
LCM of denominators i.e. for 15,30,33 is 330.
Thus, GCF of Fractions is 1/330.Finally, GCF of Fractions for 141/15, 607/30, 712/33 is 1/330.