GCF of 941/91, 728/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 941/91, 728/987 i.e 1/12831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/91, 728/987.
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 941/91,728/987?
Given fractions are 941/91,728/987
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 941/91,728/987, numerators are 941,728
Denominators are 91,987
The GCF of 941,728 is 1 .
LCM of 91,987 is 12831.
The greatest common factor of 941/91,728/987 = [GCF of 941,728]/[LCM of 91,987]= 1/12831
Therefore, the GCF of 941/91,728/987 is 1/12831.
To find the highest common factor of 941,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 941,728 is 1.
Lets's calculate GCF of 941,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 941,728 By Matching Biggest Common Factor Method
Now, list down the factors of 941
:1,941
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 941,728 . The biggest common factor number is the GCF number.
So the greatest common factor 941,728 is 1.
Lets's calculate LCM of 91,987
| 7 | 91, 987 |
| 13, 141 |
∴ So the LCM of the given numbers is 7 x 13 x 141 = 12831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12831
Therefore, the GCF of Fractions 941/91,728/987 is 1/12831
Least Common Multiple of 91,987 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 91,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,987) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(91,987) x common factors =7 x 1 = 7
LCM(91,987) = ( 91 × 987 ) / 7
LCM(91,987) = 89817 / 7
LCM(91,987) = 12831
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FAQs on GCF of Fractions of 941/91, 728/987
1. What is the HCF of 941,728?
The HCF of 941,728 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 941/91, 728/987?
Answer: GCF of Numerators as per given numbers 941/91, 728/987 is
GCF of Numerators i.e. for 941,728 is 1
LCM of denominators i.e. for 91,987 is 12831.
Thus, GCF of Fractions is 1/12831.Finally, GCF of Fractions for 941/91, 728/987 is 1/12831.