GCF of 2513/854, 9985/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2513/854, 9985/322 i.e 1/19642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2513/854, 9985/322.
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 2513/854,9985/322?
Given fractions are 2513/854,9985/322
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 2513/854,9985/322, numerators are 2513,9985
Denominators are 854,322
The GCF of 2513,9985 is 1 .
LCM of 854,322 is 19642.
The greatest common factor of 2513/854,9985/322 = [GCF of 2513,9985]/[LCM of 854,322]= 1/19642
Therefore, the GCF of 2513/854,9985/322 is 1/19642.
To find the highest common factor of 2513,9985, we have to find the factors of both numbers and list the highest common factor.
The factors of 2513 are 1, 7, 359, 2513
The factors of 9985 are 1, 5, 1997, 9985
The HCF of 2513,9985 is 1.
Lets's calculate GCF of 2513,9985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2513,9985 By Matching Biggest Common Factor Method
Now, list down the factors of 2513
:1,7,359,2513
Now, list down the factors of 9985
:1,5,1997,9985
Greatest Common Factor
We found the factors 2513,9985 . The biggest common factor number is the GCF number.
So the greatest common factor 2513,9985 is 1.
Lets's calculate LCM of 854,322
| 2 | 854, 322 |
| 7 | 427, 161 |
| 61, 23 |
∴ So the LCM of the given numbers is 2 x 7 x 61 x 23 = 19642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19642
Therefore, the GCF of Fractions 2513/854,9985/322 is 1/19642
Least Common Multiple of 854,322 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 854,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,322) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(854,322) x common factors =14 x 1 = 14
LCM(854,322) = ( 854 × 322 ) / 14
LCM(854,322) = 274988 / 14
LCM(854,322) = 19642
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FAQs on GCF of Fractions of 2513/854, 9985/322
1. What is the HCF of 2513,9985?
The HCF of 2513,9985 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 2513/854, 9985/322?
Answer: GCF of Numerators as per given numbers 2513/854, 9985/322 is
GCF of Numerators i.e. for 2513,9985 is 1
LCM of denominators i.e. for 854,322 is 19642.
Thus, GCF of Fractions is 1/19642.Finally, GCF of Fractions for 2513/854, 9985/322 is 1/19642.