GCF of 3469/204, 4231/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3469/204, 4231/677 i.e 1/138108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3469/204, 4231/677.
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 3469/204,4231/677?
Given fractions are 3469/204,4231/677
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 3469/204,4231/677, numerators are 3469,4231
Denominators are 204,677
The GCF of 3469,4231 is 1 .
LCM of 204,677 is 138108.
The greatest common factor of 3469/204,4231/677 = [GCF of 3469,4231]/[LCM of 204,677]= 1/138108
Therefore, the GCF of 3469/204,4231/677 is 1/138108.
To find the highest common factor of 3469,4231, we have to find the factors of both numbers and list the highest common factor.
The factors of 3469 are 1, 3469
The factors of 4231 are 1, 4231
The HCF of 3469,4231 is 1.
Lets's calculate GCF of 3469,4231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3469,4231 By Matching Biggest Common Factor Method
Now, list down the factors of 3469
:1,3469
Now, list down the factors of 4231
:1,4231
Greatest Common Factor
We found the factors 3469,4231 . The biggest common factor number is the GCF number.
So the greatest common factor 3469,4231 is 1.
Lets's calculate LCM of 204,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 138108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138108
Therefore, the GCF of Fractions 3469/204,4231/677 is 1/138108
Least Common Multiple of 204,677 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 204,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,677) x common factors =1 x 1 = 1
LCM(204,677) = ( 204 × 677 ) / 1
LCM(204,677) = 138108 / 1
LCM(204,677) = 138108
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FAQs on GCF of Fractions of 3469/204, 4231/677
1. What is the HCF of 3469,4231?
The HCF of 3469,4231 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 3469/204, 4231/677?
Answer: GCF of Numerators as per given numbers 3469/204, 4231/677 is
GCF of Numerators i.e. for 3469,4231 is 1
LCM of denominators i.e. for 204,677 is 138108.
Thus, GCF of Fractions is 1/138108.Finally, GCF of Fractions for 3469/204, 4231/677 is 1/138108.