GCF of 1657/454, 3228/8841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1657/454, 3228/8841 i.e 1/4013814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1657/454, 3228/8841.
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 1657/454,3228/8841?
Given fractions are 1657/454,3228/8841
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 1657/454,3228/8841, numerators are 1657,3228
Denominators are 454,8841
The GCF of 1657,3228 is 1 .
LCM of 454,8841 is 4013814.
The greatest common factor of 1657/454,3228/8841 = [GCF of 1657,3228]/[LCM of 454,8841]= 1/4013814
Therefore, the GCF of 1657/454,3228/8841 is 1/4013814.
To find the highest common factor of 1657,3228, we have to find the factors of both numbers and list the highest common factor.
The factors of 1657 are 1, 1657
The factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228
The HCF of 1657,3228 is 1.
Lets's calculate GCF of 1657,3228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1657,3228 By Matching Biggest Common Factor Method
Now, list down the factors of 1657
:1,1657
Now, list down the factors of 3228
:1,2,3,4,6,12,269,538,807,1076,1614,3228
Greatest Common Factor
We found the factors 1657,3228 . The biggest common factor number is the GCF number.
So the greatest common factor 1657,3228 is 1.
Lets's calculate LCM of 454,8841
Given numbers has no common factors except 1. So, there LCM is their product i.e 4013814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4013814
Therefore, the GCF of Fractions 1657/454,3228/8841 is 1/4013814
Least Common Multiple of 454,8841 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 454,8841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,8841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,8841) x common factors =1 x 1 = 1
LCM(454,8841) = ( 454 × 8841 ) / 1
LCM(454,8841) = 4013814 / 1
LCM(454,8841) = 4013814
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FAQs on GCF of Fractions of 1657/454, 3228/8841
1. What is the HCF of 1657,3228?
The HCF of 1657,3228 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 1657/454, 3228/8841?
Answer: GCF of Numerators as per given numbers 1657/454, 3228/8841 is
GCF of Numerators i.e. for 1657,3228 is 1
LCM of denominators i.e. for 454,8841 is 4013814.
Thus, GCF of Fractions is 1/4013814.Finally, GCF of Fractions for 1657/454, 3228/8841 is 1/4013814.