GCF of 2203/485, 6614/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2203/485, 6614/172 i.e 1/83420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2203/485, 6614/172.
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 2203/485,6614/172?
Given fractions are 2203/485,6614/172
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 2203/485,6614/172, numerators are 2203,6614
Denominators are 485,172
The GCF of 2203,6614 is 1 .
LCM of 485,172 is 83420.
The greatest common factor of 2203/485,6614/172 = [GCF of 2203,6614]/[LCM of 485,172]= 1/83420
Therefore, the GCF of 2203/485,6614/172 is 1/83420.
To find the highest common factor of 2203,6614, we have to find the factors of both numbers and list the highest common factor.
The factors of 2203 are 1, 2203
The factors of 6614 are 1, 2, 3307, 6614
The HCF of 2203,6614 is 1.
Lets's calculate GCF of 2203,6614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2203,6614 By Matching Biggest Common Factor Method
Now, list down the factors of 2203
:1,2203
Now, list down the factors of 6614
:1,2,3307,6614
Greatest Common Factor
We found the factors 2203,6614 . The biggest common factor number is the GCF number.
So the greatest common factor 2203,6614 is 1.
Lets's calculate LCM of 485,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 83420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83420
Therefore, the GCF of Fractions 2203/485,6614/172 is 1/83420
Least Common Multiple of 485,172 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 485,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,172) x common factors =1 x 1 = 1
LCM(485,172) = ( 485 × 172 ) / 1
LCM(485,172) = 83420 / 1
LCM(485,172) = 83420
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FAQs on GCF of Fractions of 2203/485, 6614/172
1. What is the HCF of 2203,6614?
The HCF of 2203,6614 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 2203/485, 6614/172?
Answer: GCF of Numerators as per given numbers 2203/485, 6614/172 is
GCF of Numerators i.e. for 2203,6614 is 1
LCM of denominators i.e. for 485,172 is 83420.
Thus, GCF of Fractions is 1/83420.Finally, GCF of Fractions for 2203/485, 6614/172 is 1/83420.