GCF of 42/534, 41/756, 881/855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 42/534, 41/756, 881/855 i.e 1/6391980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/534, 41/756, 881/855.
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 42/534,41/756,881/855?
Given fractions are 42/534,41/756,881/855
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 42/534,41/756,881/855, numerators are 42,41,881
Denominators are 534,756,855
The GCF of 42,41,881 is 1 .
LCM of 534,756,855 is 6391980.
The greatest common factor of 42/534,41/756,881/855 = [GCF of 42,41,881]/[LCM of 534,756,855]= 1/6391980
Therefore, the GCF of 42/534,41/756,881/855 is 1/6391980.
To find the highest common factor of 42,41,881, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 41 are 1, 41
The factors of 881 are 1, 881
The HCF of 42,41,881 is 1.
Lets's calculate GCF of 42,41,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 42,41,881 By Matching Biggest Common Factor Method
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 41
:1,41
Now, list down the factors of 881
:1,881
Greatest Common Factor
We found the factors 42,41,881 . The biggest common factor number is the GCF number.
So the greatest common factor 42,41,881 is 1.
Lets's calculate LCM of 534,756,855
| 2 | 534, 756, 855 |
| 3 | 267, 378, 855 |
| 3 | 89, 126, 285 |
| 89, 42, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 89 x 42 x 95 = 6391980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6391980
Therefore, the GCF of Fractions 42/534,41/756,881/855 is 1/6391980
Least Common Multiple of 534,756,855 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 534,756,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,756,855) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(534,756,855) x common factors =3 x 18 = 54
LCM(534,756,855) = ( 534 × 756 × 855 ) / 54
LCM(534,756,855) = 345166920 / 54
LCM(534,756,855) = 6391980
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FAQs on GCF of Fractions of 42/534, 41/756, 881/855
1. What is the HCF of 42,41,881?
The HCF of 42,41,881 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 42/534, 41/756, 881/855?
Answer: GCF of Numerators as per given numbers 42/534, 41/756, 881/855 is
GCF of Numerators i.e. for 42,41,881 is 1
LCM of denominators i.e. for 534,756,855 is 6391980.
Thus, GCF of Fractions is 1/6391980.Finally, GCF of Fractions for 42/534, 41/756, 881/855 is 1/6391980.