GCF of 6471/692, 1856/4843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6471/692, 1856/4843 i.e 1/3351356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6471/692, 1856/4843.
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 6471/692,1856/4843?
Given fractions are 6471/692,1856/4843
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 6471/692,1856/4843, numerators are 6471,1856
Denominators are 692,4843
The GCF of 6471,1856 is 1 .
LCM of 692,4843 is 3351356.
The greatest common factor of 6471/692,1856/4843 = [GCF of 6471,1856]/[LCM of 692,4843]= 1/3351356
Therefore, the GCF of 6471/692,1856/4843 is 1/3351356.
To find the highest common factor of 6471,1856, we have to find the factors of both numbers and list the highest common factor.
The factors of 6471 are 1, 3, 9, 719, 2157, 6471
The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856
The HCF of 6471,1856 is 1.
Lets's calculate GCF of 6471,1856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6471,1856 By Matching Biggest Common Factor Method
Now, list down the factors of 6471
:1,3,9,719,2157,6471
Now, list down the factors of 1856
:1,2,4,8,16,29,32,58,64,116,232,464,928,1856
Greatest Common Factor
We found the factors 6471,1856 . The biggest common factor number is the GCF number.
So the greatest common factor 6471,1856 is 1.
Lets's calculate LCM of 692,4843
Given numbers has no common factors except 1. So, there LCM is their product i.e 3351356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3351356
Therefore, the GCF of Fractions 6471/692,1856/4843 is 1/3351356
Least Common Multiple of 692,4843 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 692,4843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,4843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,4843) x common factors =1 x 1 = 1
LCM(692,4843) = ( 692 × 4843 ) / 1
LCM(692,4843) = 3351356 / 1
LCM(692,4843) = 3351356
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FAQs on GCF of Fractions of 6471/692, 1856/4843
1. What is the HCF of 6471,1856?
The HCF of 6471,1856 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 6471/692, 1856/4843?
Answer: GCF of Numerators as per given numbers 6471/692, 1856/4843 is
GCF of Numerators i.e. for 6471,1856 is 1
LCM of denominators i.e. for 692,4843 is 3351356.
Thus, GCF of Fractions is 1/3351356.Finally, GCF of Fractions for 6471/692, 1856/4843 is 1/3351356.