GCF of 8260/223, 7797/7720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8260/223, 7797/7720 i.e 1/1721560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8260/223, 7797/7720.
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 8260/223,7797/7720?
Given fractions are 8260/223,7797/7720
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 8260/223,7797/7720, numerators are 8260,7797
Denominators are 223,7720
The GCF of 8260,7797 is 1 .
LCM of 223,7720 is 1721560.
The greatest common factor of 8260/223,7797/7720 = [GCF of 8260,7797]/[LCM of 223,7720]= 1/1721560
Therefore, the GCF of 8260/223,7797/7720 is 1/1721560.
To find the highest common factor of 8260,7797, we have to find the factors of both numbers and list the highest common factor.
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797
The HCF of 8260,7797 is 1.
Lets's calculate GCF of 8260,7797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8260,7797 By Matching Biggest Common Factor Method
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Now, list down the factors of 7797
:1,3,23,69,113,339,2599,7797
Greatest Common Factor
We found the factors 8260,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 8260,7797 is 1.
Lets's calculate LCM of 223,7720
Given numbers has no common factors except 1. So, there LCM is their product i.e 1721560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1721560
Therefore, the GCF of Fractions 8260/223,7797/7720 is 1/1721560
Least Common Multiple of 223,7720 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 223,7720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,7720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,7720) x common factors =1 x 1 = 1
LCM(223,7720) = ( 223 × 7720 ) / 1
LCM(223,7720) = 1721560 / 1
LCM(223,7720) = 1721560
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FAQs on GCF of Fractions of 8260/223, 7797/7720
1. What is the HCF of 8260,7797?
The HCF of 8260,7797 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 8260/223, 7797/7720?
Answer: GCF of Numerators as per given numbers 8260/223, 7797/7720 is
GCF of Numerators i.e. for 8260,7797 is 1
LCM of denominators i.e. for 223,7720 is 1721560.
Thus, GCF of Fractions is 1/1721560.Finally, GCF of Fractions for 8260/223, 7797/7720 is 1/1721560.