GCF of 181/194, 521/670, 942/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 181/194, 521/670, 942/880 i.e 1/5719120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/194, 521/670, 942/880.
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 181/194,521/670,942/880?
Given fractions are 181/194,521/670,942/880
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 181/194,521/670,942/880, numerators are 181,521,942
Denominators are 194,670,880
The GCF of 181,521,942 is 1 .
LCM of 194,670,880 is 5719120.
The greatest common factor of 181/194,521/670,942/880 = [GCF of 181,521,942]/[LCM of 194,670,880]= 1/5719120
Therefore, the GCF of 181/194,521/670,942/880 is 1/5719120.
To find the highest common factor of 181,521,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 181 are 1, 181
The factors of 521 are 1, 521
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 181,521,942 is 1.
Lets's calculate GCF of 181,521,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 181,521,942 By Matching Biggest Common Factor Method
Now, list down the factors of 181
:1,181
Now, list down the factors of 521
:1,521
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 181,521,942 . The biggest common factor number is the GCF number.
So the greatest common factor 181,521,942 is 1.
Lets's calculate LCM of 194,670,880
| 2 | 194, 670, 880 |
| 5 | 97, 335, 440 |
| 97, 67, 88 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 67 x 88 = 5719120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5719120
Therefore, the GCF of Fractions 181/194,521/670,942/880 is 1/5719120
Least Common Multiple of 194,670,880 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 194,670,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,670,880) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(194,670,880) x common factors =2 x 10 = 20
LCM(194,670,880) = ( 194 × 670 × 880 ) / 20
LCM(194,670,880) = 114382400 / 20
LCM(194,670,880) = 5719120
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FAQs on GCF of Fractions of 181/194, 521/670, 942/880
1. What is the HCF of 181,521,942?
The HCF of 181,521,942 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 181/194, 521/670, 942/880?
Answer: GCF of Numerators as per given numbers 181/194, 521/670, 942/880 is
GCF of Numerators i.e. for 181,521,942 is 1
LCM of denominators i.e. for 194,670,880 is 5719120.
Thus, GCF of Fractions is 1/5719120.Finally, GCF of Fractions for 181/194, 521/670, 942/880 is 1/5719120.