GCF of 4487/952, 3806/2893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4487/952, 3806/2893 i.e 1/2754136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4487/952, 3806/2893.
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 4487/952,3806/2893?
Given fractions are 4487/952,3806/2893
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 4487/952,3806/2893, numerators are 4487,3806
Denominators are 952,2893
The GCF of 4487,3806 is 1 .
LCM of 952,2893 is 2754136.
The greatest common factor of 4487/952,3806/2893 = [GCF of 4487,3806]/[LCM of 952,2893]= 1/2754136
Therefore, the GCF of 4487/952,3806/2893 is 1/2754136.
To find the highest common factor of 4487,3806, we have to find the factors of both numbers and list the highest common factor.
The factors of 4487 are 1, 7, 641, 4487
The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806
The HCF of 4487,3806 is 1.
Lets's calculate GCF of 4487,3806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4487,3806 By Matching Biggest Common Factor Method
Now, list down the factors of 4487
:1,7,641,4487
Now, list down the factors of 3806
:1,2,11,22,173,346,1903,3806
Greatest Common Factor
We found the factors 4487,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 4487,3806 is 1.
Lets's calculate LCM of 952,2893
Given numbers has no common factors except 1. So, there LCM is their product i.e 2754136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2754136
Therefore, the GCF of Fractions 4487/952,3806/2893 is 1/2754136
Least Common Multiple of 952,2893 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 952,2893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,2893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(952,2893) x common factors =1 x 1 = 1
LCM(952,2893) = ( 952 × 2893 ) / 1
LCM(952,2893) = 2754136 / 1
LCM(952,2893) = 2754136
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FAQs on GCF of Fractions of 4487/952, 3806/2893
1. What is the HCF of 4487,3806?
The HCF of 4487,3806 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 4487/952, 3806/2893?
Answer: GCF of Numerators as per given numbers 4487/952, 3806/2893 is
GCF of Numerators i.e. for 4487,3806 is 1
LCM of denominators i.e. for 952,2893 is 2754136.
Thus, GCF of Fractions is 1/2754136.Finally, GCF of Fractions for 4487/952, 3806/2893 is 1/2754136.