GCF of 985/27, 580/90, 914/91
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 985/27, 580/90, 914/91 i.e 1/24570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/27, 580/90, 914/91.
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 985/27,580/90,914/91?
Given fractions are 985/27,580/90,914/91
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 985/27,580/90,914/91, numerators are 985,580,914
Denominators are 27,90,91
The GCF of 985,580,914 is 1 .
LCM of 27,90,91 is 24570.
The greatest common factor of 985/27,580/90,914/91 = [GCF of 985,580,914]/[LCM of 27,90,91]= 1/24570
Therefore, the GCF of 985/27,580/90,914/91 is 1/24570.
To find the highest common factor of 985,580,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The factors of 914 are 1, 2, 457, 914
The HCF of 985,580,914 is 1.
Lets's calculate GCF of 985,580,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 985,580,914 By Matching Biggest Common Factor Method
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 985,580,914 . The biggest common factor number is the GCF number.
So the greatest common factor 985,580,914 is 1.
Lets's calculate LCM of 27,90,91
| 3 | 27, 90, 91 |
| 3 | 9, 30, 91 |
| 3, 10, 91 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 10 x 91 = 24570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24570
Therefore, the GCF of Fractions 985/27,580/90,914/91 is 1/24570
Least Common Multiple of 27,90,91 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 27,90,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,90,91) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(27,90,91) x common factors =1 x 9 = 9
LCM(27,90,91) = ( 27 × 90 × 91 ) / 9
LCM(27,90,91) = 221130 / 9
LCM(27,90,91) = 24570
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FAQs on GCF of Fractions of 985/27, 580/90, 914/91
1. What is the HCF of 985,580,914?
The HCF of 985,580,914 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 985/27, 580/90, 914/91?
Answer: GCF of Numerators as per given numbers 985/27, 580/90, 914/91 is
GCF of Numerators i.e. for 985,580,914 is 1
LCM of denominators i.e. for 27,90,91 is 24570.
Thus, GCF of Fractions is 1/24570.Finally, GCF of Fractions for 985/27, 580/90, 914/91 is 1/24570.