GCF of 6657/312, 3203/1351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6657/312, 3203/1351 i.e 1/421512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6657/312, 3203/1351.
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 6657/312,3203/1351?
Given fractions are 6657/312,3203/1351
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 6657/312,3203/1351, numerators are 6657,3203
Denominators are 312,1351
The GCF of 6657,3203 is 1 .
LCM of 312,1351 is 421512.
The greatest common factor of 6657/312,3203/1351 = [GCF of 6657,3203]/[LCM of 312,1351]= 1/421512
Therefore, the GCF of 6657/312,3203/1351 is 1/421512.
To find the highest common factor of 6657,3203, we have to find the factors of both numbers and list the highest common factor.
The factors of 6657 are 1, 3, 7, 21, 317, 951, 2219, 6657
The factors of 3203 are 1, 3203
The HCF of 6657,3203 is 1.
Lets's calculate GCF of 6657,3203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6657,3203 By Matching Biggest Common Factor Method
Now, list down the factors of 6657
:1,3,7,21,317,951,2219,6657
Now, list down the factors of 3203
:1,3203
Greatest Common Factor
We found the factors 6657,3203 . The biggest common factor number is the GCF number.
So the greatest common factor 6657,3203 is 1.
Lets's calculate LCM of 312,1351
Given numbers has no common factors except 1. So, there LCM is their product i.e 421512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421512
Therefore, the GCF of Fractions 6657/312,3203/1351 is 1/421512
Least Common Multiple of 312,1351 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 312,1351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,1351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,1351) x common factors =1 x 1 = 1
LCM(312,1351) = ( 312 × 1351 ) / 1
LCM(312,1351) = 421512 / 1
LCM(312,1351) = 421512
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FAQs on GCF of Fractions of 6657/312, 3203/1351
1. What is the HCF of 6657,3203?
The HCF of 6657,3203 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 6657/312, 3203/1351?
Answer: GCF of Numerators as per given numbers 6657/312, 3203/1351 is
GCF of Numerators i.e. for 6657,3203 is 1
LCM of denominators i.e. for 312,1351 is 421512.
Thus, GCF of Fractions is 1/421512.Finally, GCF of Fractions for 6657/312, 3203/1351 is 1/421512.