GCF of 887/454, 2013/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 887/454, 2013/274 i.e 1/62198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/454, 2013/274.
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 887/454,2013/274?
Given fractions are 887/454,2013/274
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 887/454,2013/274, numerators are 887,2013
Denominators are 454,274
The GCF of 887,2013 is 1 .
LCM of 454,274 is 62198.
The greatest common factor of 887/454,2013/274 = [GCF of 887,2013]/[LCM of 454,274]= 1/62198
Therefore, the GCF of 887/454,2013/274 is 1/62198.
To find the highest common factor of 887,2013, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013
The HCF of 887,2013 is 1.
Lets's calculate GCF of 887,2013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 887,2013 By Matching Biggest Common Factor Method
Now, list down the factors of 887
:1,887
Now, list down the factors of 2013
:1,3,11,33,61,183,671,2013
Greatest Common Factor
We found the factors 887,2013 . The biggest common factor number is the GCF number.
So the greatest common factor 887,2013 is 1.
Lets's calculate LCM of 454,274
| 2 | 454, 274 |
| 227, 137 |
∴ So the LCM of the given numbers is 2 x 227 x 137 = 62198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62198
Therefore, the GCF of Fractions 887/454,2013/274 is 1/62198
Least Common Multiple of 454,274 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 454,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,274) x common factors =2 x 1 = 2
LCM(454,274) = ( 454 × 274 ) / 2
LCM(454,274) = 124396 / 2
LCM(454,274) = 62198
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FAQs on GCF of Fractions of 887/454, 2013/274
1. What is the HCF of 887,2013?
The HCF of 887,2013 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 887/454, 2013/274?
Answer: GCF of Numerators as per given numbers 887/454, 2013/274 is
GCF of Numerators i.e. for 887,2013 is 1
LCM of denominators i.e. for 454,274 is 62198.
Thus, GCF of Fractions is 1/62198.Finally, GCF of Fractions for 887/454, 2013/274 is 1/62198.