GCF of 5080/659, 5377/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5080/659, 5377/623 i.e 1/410557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5080/659, 5377/623.
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 5080/659,5377/623?
Given fractions are 5080/659,5377/623
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 5080/659,5377/623, numerators are 5080,5377
Denominators are 659,623
The GCF of 5080,5377 is 1 .
LCM of 659,623 is 410557.
The greatest common factor of 5080/659,5377/623 = [GCF of 5080,5377]/[LCM of 659,623]= 1/410557
Therefore, the GCF of 5080/659,5377/623 is 1/410557.
To find the highest common factor of 5080,5377, we have to find the factors of both numbers and list the highest common factor.
The factors of 5080 are 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080
The factors of 5377 are 1, 19, 283, 5377
The HCF of 5080,5377 is 1.
Lets's calculate GCF of 5080,5377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5080,5377 By Matching Biggest Common Factor Method
Now, list down the factors of 5080
:1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080
Now, list down the factors of 5377
:1,19,283,5377
Greatest Common Factor
We found the factors 5080,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 5080,5377 is 1.
Lets's calculate LCM of 659,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 410557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410557
Therefore, the GCF of Fractions 5080/659,5377/623 is 1/410557
Least Common Multiple of 659,623 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 659,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,623) x common factors =1 x 1 = 1
LCM(659,623) = ( 659 × 623 ) / 1
LCM(659,623) = 410557 / 1
LCM(659,623) = 410557
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FAQs on GCF of Fractions of 5080/659, 5377/623
1. What is the HCF of 5080,5377?
The HCF of 5080,5377 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 5080/659, 5377/623?
Answer: GCF of Numerators as per given numbers 5080/659, 5377/623 is
GCF of Numerators i.e. for 5080,5377 is 1
LCM of denominators i.e. for 659,623 is 410557.
Thus, GCF of Fractions is 1/410557.Finally, GCF of Fractions for 5080/659, 5377/623 is 1/410557.