GCF of 2287/837, 5114/1805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2287/837, 5114/1805 i.e 1/1510785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2287/837, 5114/1805.
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 2287/837,5114/1805?
Given fractions are 2287/837,5114/1805
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 2287/837,5114/1805, numerators are 2287,5114
Denominators are 837,1805
The GCF of 2287,5114 is 1 .
LCM of 837,1805 is 1510785.
The greatest common factor of 2287/837,5114/1805 = [GCF of 2287,5114]/[LCM of 837,1805]= 1/1510785
Therefore, the GCF of 2287/837,5114/1805 is 1/1510785.
To find the highest common factor of 2287,5114, we have to find the factors of both numbers and list the highest common factor.
The factors of 2287 are 1, 2287
The factors of 5114 are 1, 2, 2557, 5114
The HCF of 2287,5114 is 1.
Lets's calculate GCF of 2287,5114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2287,5114 By Matching Biggest Common Factor Method
Now, list down the factors of 2287
:1,2287
Now, list down the factors of 5114
:1,2,2557,5114
Greatest Common Factor
We found the factors 2287,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 2287,5114 is 1.
Lets's calculate LCM of 837,1805
Given numbers has no common factors except 1. So, there LCM is their product i.e 1510785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1510785
Therefore, the GCF of Fractions 2287/837,5114/1805 is 1/1510785
Least Common Multiple of 837,1805 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 837,1805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,1805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,1805) x common factors =1 x 1 = 1
LCM(837,1805) = ( 837 × 1805 ) / 1
LCM(837,1805) = 1510785 / 1
LCM(837,1805) = 1510785
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FAQs on GCF of Fractions of 2287/837, 5114/1805
1. What is the HCF of 2287,5114?
The HCF of 2287,5114 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 2287/837, 5114/1805?
Answer: GCF of Numerators as per given numbers 2287/837, 5114/1805 is
GCF of Numerators i.e. for 2287,5114 is 1
LCM of denominators i.e. for 837,1805 is 1510785.
Thus, GCF of Fractions is 1/1510785.Finally, GCF of Fractions for 2287/837, 5114/1805 is 1/1510785.