GCF of 3589/932, 6503/5847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3589/932, 6503/5847 i.e 1/5449404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3589/932, 6503/5847.
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 3589/932,6503/5847?
Given fractions are 3589/932,6503/5847
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 3589/932,6503/5847, numerators are 3589,6503
Denominators are 932,5847
The GCF of 3589,6503 is 1 .
LCM of 932,5847 is 5449404.
The greatest common factor of 3589/932,6503/5847 = [GCF of 3589,6503]/[LCM of 932,5847]= 1/5449404
Therefore, the GCF of 3589/932,6503/5847 is 1/5449404.
To find the highest common factor of 3589,6503, we have to find the factors of both numbers and list the highest common factor.
The factors of 3589 are 1, 37, 97, 3589
The factors of 6503 are 1, 7, 929, 6503
The HCF of 3589,6503 is 1.
Lets's calculate GCF of 3589,6503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3589,6503 By Matching Biggest Common Factor Method
Now, list down the factors of 3589
:1,37,97,3589
Now, list down the factors of 6503
:1,7,929,6503
Greatest Common Factor
We found the factors 3589,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 3589,6503 is 1.
Lets's calculate LCM of 932,5847
Given numbers has no common factors except 1. So, there LCM is their product i.e 5449404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5449404
Therefore, the GCF of Fractions 3589/932,6503/5847 is 1/5449404
Least Common Multiple of 932,5847 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 932,5847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,5847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,5847) x common factors =1 x 1 = 1
LCM(932,5847) = ( 932 × 5847 ) / 1
LCM(932,5847) = 5449404 / 1
LCM(932,5847) = 5449404
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FAQs on GCF of Fractions of 3589/932, 6503/5847
1. What is the HCF of 3589,6503?
The HCF of 3589,6503 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 3589/932, 6503/5847?
Answer: GCF of Numerators as per given numbers 3589/932, 6503/5847 is
GCF of Numerators i.e. for 3589,6503 is 1
LCM of denominators i.e. for 932,5847 is 5449404.
Thus, GCF of Fractions is 1/5449404.Finally, GCF of Fractions for 3589/932, 6503/5847 is 1/5449404.