GCF of 8691/697, 5218/1806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8691/697, 5218/1806 i.e 1/1258782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8691/697, 5218/1806.
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 8691/697,5218/1806?
Given fractions are 8691/697,5218/1806
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 8691/697,5218/1806, numerators are 8691,5218
Denominators are 697,1806
The GCF of 8691,5218 is 1 .
LCM of 697,1806 is 1258782.
The greatest common factor of 8691/697,5218/1806 = [GCF of 8691,5218]/[LCM of 697,1806]= 1/1258782
Therefore, the GCF of 8691/697,5218/1806 is 1/1258782.
To find the highest common factor of 8691,5218, we have to find the factors of both numbers and list the highest common factor.
The factors of 8691 are 1, 3, 2897, 8691
The factors of 5218 are 1, 2, 2609, 5218
The HCF of 8691,5218 is 1.
Lets's calculate GCF of 8691,5218
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8691,5218 By Matching Biggest Common Factor Method
Now, list down the factors of 8691
:1,3,2897,8691
Now, list down the factors of 5218
:1,2,2609,5218
Greatest Common Factor
We found the factors 8691,5218 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,5218 is 1.
Lets's calculate LCM of 697,1806
Given numbers has no common factors except 1. So, there LCM is their product i.e 1258782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1258782
Therefore, the GCF of Fractions 8691/697,5218/1806 is 1/1258782
Least Common Multiple of 697,1806 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 697,1806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,1806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,1806) x common factors =1 x 1 = 1
LCM(697,1806) = ( 697 × 1806 ) / 1
LCM(697,1806) = 1258782 / 1
LCM(697,1806) = 1258782
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FAQs on GCF of Fractions of 8691/697, 5218/1806
1. What is the HCF of 8691,5218?
The HCF of 8691,5218 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 8691/697, 5218/1806?
Answer: GCF of Numerators as per given numbers 8691/697, 5218/1806 is
GCF of Numerators i.e. for 8691,5218 is 1
LCM of denominators i.e. for 697,1806 is 1258782.
Thus, GCF of Fractions is 1/1258782.Finally, GCF of Fractions for 8691/697, 5218/1806 is 1/1258782.