GCF of 8562/418, 6221/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8562/418, 6221/687 i.e 1/287166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8562/418, 6221/687.
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 8562/418,6221/687?
Given fractions are 8562/418,6221/687
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 8562/418,6221/687, numerators are 8562,6221
Denominators are 418,687
The GCF of 8562,6221 is 1 .
LCM of 418,687 is 287166.
The greatest common factor of 8562/418,6221/687 = [GCF of 8562,6221]/[LCM of 418,687]= 1/287166
Therefore, the GCF of 8562/418,6221/687 is 1/287166.
To find the highest common factor of 8562,6221, we have to find the factors of both numbers and list the highest common factor.
The factors of 8562 are 1, 2, 3, 6, 1427, 2854, 4281, 8562
The factors of 6221 are 1, 6221
The HCF of 8562,6221 is 1.
Lets's calculate GCF of 8562,6221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8562,6221 By Matching Biggest Common Factor Method
Now, list down the factors of 8562
:1,2,3,6,1427,2854,4281,8562
Now, list down the factors of 6221
:1,6221
Greatest Common Factor
We found the factors 8562,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 8562,6221 is 1.
Lets's calculate LCM of 418,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 287166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287166
Therefore, the GCF of Fractions 8562/418,6221/687 is 1/287166
Least Common Multiple of 418,687 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 418,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,687) x common factors =1 x 1 = 1
LCM(418,687) = ( 418 × 687 ) / 1
LCM(418,687) = 287166 / 1
LCM(418,687) = 287166
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FAQs on GCF of Fractions of 8562/418, 6221/687
1. What is the HCF of 8562,6221?
The HCF of 8562,6221 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 8562/418, 6221/687?
Answer: GCF of Numerators as per given numbers 8562/418, 6221/687 is
GCF of Numerators i.e. for 8562,6221 is 1
LCM of denominators i.e. for 418,687 is 287166.
Thus, GCF of Fractions is 1/287166.Finally, GCF of Fractions for 8562/418, 6221/687 is 1/287166.