GCF of 5643/696, 5839/2087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5643/696, 5839/2087 i.e 1/1452552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5643/696, 5839/2087.
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 5643/696,5839/2087?
Given fractions are 5643/696,5839/2087
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 5643/696,5839/2087, numerators are 5643,5839
Denominators are 696,2087
The GCF of 5643,5839 is 1 .
LCM of 696,2087 is 1452552.
The greatest common factor of 5643/696,5839/2087 = [GCF of 5643,5839]/[LCM of 696,2087]= 1/1452552
Therefore, the GCF of 5643/696,5839/2087 is 1/1452552.
To find the highest common factor of 5643,5839, we have to find the factors of both numbers and list the highest common factor.
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The factors of 5839 are 1, 5839
The HCF of 5643,5839 is 1.
Lets's calculate GCF of 5643,5839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5643,5839 By Matching Biggest Common Factor Method
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Now, list down the factors of 5839
:1,5839
Greatest Common Factor
We found the factors 5643,5839 . The biggest common factor number is the GCF number.
So the greatest common factor 5643,5839 is 1.
Lets's calculate LCM of 696,2087
Given numbers has no common factors except 1. So, there LCM is their product i.e 1452552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1452552
Therefore, the GCF of Fractions 5643/696,5839/2087 is 1/1452552
Least Common Multiple of 696,2087 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 696,2087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,2087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,2087) x common factors =1 x 1 = 1
LCM(696,2087) = ( 696 × 2087 ) / 1
LCM(696,2087) = 1452552 / 1
LCM(696,2087) = 1452552
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FAQs on GCF of Fractions of 5643/696, 5839/2087
1. What is the HCF of 5643,5839?
The HCF of 5643,5839 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 5643/696, 5839/2087?
Answer: GCF of Numerators as per given numbers 5643/696, 5839/2087 is
GCF of Numerators i.e. for 5643,5839 is 1
LCM of denominators i.e. for 696,2087 is 1452552.
Thus, GCF of Fractions is 1/1452552.Finally, GCF of Fractions for 5643/696, 5839/2087 is 1/1452552.