GCF of 8538/553, 3857/6182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8538/553, 3857/6182 i.e 1/3418646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8538/553, 3857/6182.
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 8538/553,3857/6182?
Given fractions are 8538/553,3857/6182
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 8538/553,3857/6182, numerators are 8538,3857
Denominators are 553,6182
The GCF of 8538,3857 is 1 .
LCM of 553,6182 is 3418646.
The greatest common factor of 8538/553,3857/6182 = [GCF of 8538,3857]/[LCM of 553,6182]= 1/3418646
Therefore, the GCF of 8538/553,3857/6182 is 1/3418646.
To find the highest common factor of 8538,3857, we have to find the factors of both numbers and list the highest common factor.
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857
The HCF of 8538,3857 is 1.
Lets's calculate GCF of 8538,3857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8538,3857 By Matching Biggest Common Factor Method
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Now, list down the factors of 3857
:1,7,19,29,133,203,551,3857
Greatest Common Factor
We found the factors 8538,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 8538,3857 is 1.
Lets's calculate LCM of 553,6182
Given numbers has no common factors except 1. So, there LCM is their product i.e 3418646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3418646
Therefore, the GCF of Fractions 8538/553,3857/6182 is 1/3418646
Least Common Multiple of 553,6182 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 553,6182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,6182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,6182) x common factors =1 x 1 = 1
LCM(553,6182) = ( 553 × 6182 ) / 1
LCM(553,6182) = 3418646 / 1
LCM(553,6182) = 3418646
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FAQs on GCF of Fractions of 8538/553, 3857/6182
1. What is the HCF of 8538,3857?
The HCF of 8538,3857 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 8538/553, 3857/6182?
Answer: GCF of Numerators as per given numbers 8538/553, 3857/6182 is
GCF of Numerators i.e. for 8538,3857 is 1
LCM of denominators i.e. for 553,6182 is 3418646.
Thus, GCF of Fractions is 1/3418646.Finally, GCF of Fractions for 8538/553, 3857/6182 is 1/3418646.