GCF of 7368/180, 7783/5911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7368/180, 7783/5911 i.e 1/1063980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7368/180, 7783/5911.
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 7368/180,7783/5911?
Given fractions are 7368/180,7783/5911
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 7368/180,7783/5911, numerators are 7368,7783
Denominators are 180,5911
The GCF of 7368,7783 is 1 .
LCM of 180,5911 is 1063980.
The greatest common factor of 7368/180,7783/5911 = [GCF of 7368,7783]/[LCM of 180,5911]= 1/1063980
Therefore, the GCF of 7368/180,7783/5911 is 1/1063980.
To find the highest common factor of 7368,7783, we have to find the factors of both numbers and list the highest common factor.
The factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368
The factors of 7783 are 1, 43, 181, 7783
The HCF of 7368,7783 is 1.
Lets's calculate GCF of 7368,7783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7368,7783 By Matching Biggest Common Factor Method
Now, list down the factors of 7368
:1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368
Now, list down the factors of 7783
:1,43,181,7783
Greatest Common Factor
We found the factors 7368,7783 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,7783 is 1.
Lets's calculate LCM of 180,5911
Given numbers has no common factors except 1. So, there LCM is their product i.e 1063980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1063980
Therefore, the GCF of Fractions 7368/180,7783/5911 is 1/1063980
Least Common Multiple of 180,5911 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 180,5911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,5911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,5911) x common factors =1 x 1 = 1
LCM(180,5911) = ( 180 × 5911 ) / 1
LCM(180,5911) = 1063980 / 1
LCM(180,5911) = 1063980
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FAQs on GCF of Fractions of 7368/180, 7783/5911
1. What is the HCF of 7368,7783?
The HCF of 7368,7783 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 7368/180, 7783/5911?
Answer: GCF of Numerators as per given numbers 7368/180, 7783/5911 is
GCF of Numerators i.e. for 7368,7783 is 1
LCM of denominators i.e. for 180,5911 is 1063980.
Thus, GCF of Fractions is 1/1063980.Finally, GCF of Fractions for 7368/180, 7783/5911 is 1/1063980.