GCF of 6658/270, 5283/2197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6658/270, 5283/2197 i.e 1/593190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6658/270, 5283/2197.
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 6658/270,5283/2197?
Given fractions are 6658/270,5283/2197
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 6658/270,5283/2197, numerators are 6658,5283
Denominators are 270,2197
The GCF of 6658,5283 is 1 .
LCM of 270,2197 is 593190.
The greatest common factor of 6658/270,5283/2197 = [GCF of 6658,5283]/[LCM of 270,2197]= 1/593190
Therefore, the GCF of 6658/270,5283/2197 is 1/593190.
To find the highest common factor of 6658,5283, we have to find the factors of both numbers and list the highest common factor.
The factors of 6658 are 1, 2, 3329, 6658
The factors of 5283 are 1, 3, 9, 587, 1761, 5283
The HCF of 6658,5283 is 1.
Lets's calculate GCF of 6658,5283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6658,5283 By Matching Biggest Common Factor Method
Now, list down the factors of 6658
:1,2,3329,6658
Now, list down the factors of 5283
:1,3,9,587,1761,5283
Greatest Common Factor
We found the factors 6658,5283 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,5283 is 1.
Lets's calculate LCM of 270,2197
Given numbers has no common factors except 1. So, there LCM is their product i.e 593190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/593190
Therefore, the GCF of Fractions 6658/270,5283/2197 is 1/593190
Least Common Multiple of 270,2197 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 270,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,2197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,2197) x common factors =1 x 1 = 1
LCM(270,2197) = ( 270 × 2197 ) / 1
LCM(270,2197) = 593190 / 1
LCM(270,2197) = 593190
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FAQs on GCF of Fractions of 6658/270, 5283/2197
1. What is the HCF of 6658,5283?
The HCF of 6658,5283 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 6658/270, 5283/2197?
Answer: GCF of Numerators as per given numbers 6658/270, 5283/2197 is
GCF of Numerators i.e. for 6658,5283 is 1
LCM of denominators i.e. for 270,2197 is 593190.
Thus, GCF of Fractions is 1/593190.Finally, GCF of Fractions for 6658/270, 5283/2197 is 1/593190.