GCF of 2168/723, 7865/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2168/723, 7865/692 i.e 1/500316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2168/723, 7865/692.
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 2168/723,7865/692?
Given fractions are 2168/723,7865/692
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 2168/723,7865/692, numerators are 2168,7865
Denominators are 723,692
The GCF of 2168,7865 is 1 .
LCM of 723,692 is 500316.
The greatest common factor of 2168/723,7865/692 = [GCF of 2168,7865]/[LCM of 723,692]= 1/500316
Therefore, the GCF of 2168/723,7865/692 is 1/500316.
To find the highest common factor of 2168,7865, we have to find the factors of both numbers and list the highest common factor.
The factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168
The factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865
The HCF of 2168,7865 is 1.
Lets's calculate GCF of 2168,7865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2168,7865 By Matching Biggest Common Factor Method
Now, list down the factors of 2168
:1,2,4,8,271,542,1084,2168
Now, list down the factors of 7865
:1,5,11,13,55,65,121,143,605,715,1573,7865
Greatest Common Factor
We found the factors 2168,7865 . The biggest common factor number is the GCF number.
So the greatest common factor 2168,7865 is 1.
Lets's calculate LCM of 723,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 500316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500316
Therefore, the GCF of Fractions 2168/723,7865/692 is 1/500316
Least Common Multiple of 723,692 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 723,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,692) x common factors =1 x 1 = 1
LCM(723,692) = ( 723 × 692 ) / 1
LCM(723,692) = 500316 / 1
LCM(723,692) = 500316
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FAQs on GCF of Fractions of 2168/723, 7865/692
1. What is the HCF of 2168,7865?
The HCF of 2168,7865 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 2168/723, 7865/692?
Answer: GCF of Numerators as per given numbers 2168/723, 7865/692 is
GCF of Numerators i.e. for 2168,7865 is 1
LCM of denominators i.e. for 723,692 is 500316.
Thus, GCF of Fractions is 1/500316.Finally, GCF of Fractions for 2168/723, 7865/692 is 1/500316.