GCF of 2475/380, 3991/5183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2475/380, 3991/5183 i.e 1/1969540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2475/380, 3991/5183.
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 2475/380,3991/5183?
Given fractions are 2475/380,3991/5183
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 2475/380,3991/5183, numerators are 2475,3991
Denominators are 380,5183
The GCF of 2475,3991 is 1 .
LCM of 380,5183 is 1969540.
The greatest common factor of 2475/380,3991/5183 = [GCF of 2475,3991]/[LCM of 380,5183]= 1/1969540
Therefore, the GCF of 2475/380,3991/5183 is 1/1969540.
To find the highest common factor of 2475,3991, we have to find the factors of both numbers and list the highest common factor.
The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
The factors of 3991 are 1, 13, 307, 3991
The HCF of 2475,3991 is 1.
Lets's calculate GCF of 2475,3991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2475,3991 By Matching Biggest Common Factor Method
Now, list down the factors of 2475
:1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Now, list down the factors of 3991
:1,13,307,3991
Greatest Common Factor
We found the factors 2475,3991 . The biggest common factor number is the GCF number.
So the greatest common factor 2475,3991 is 1.
Lets's calculate LCM of 380,5183
Given numbers has no common factors except 1. So, there LCM is their product i.e 1969540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1969540
Therefore, the GCF of Fractions 2475/380,3991/5183 is 1/1969540
Least Common Multiple of 380,5183 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 380,5183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,5183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,5183) x common factors =1 x 1 = 1
LCM(380,5183) = ( 380 × 5183 ) / 1
LCM(380,5183) = 1969540 / 1
LCM(380,5183) = 1969540
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FAQs on GCF of Fractions of 2475/380, 3991/5183
1. What is the HCF of 2475,3991?
The HCF of 2475,3991 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 2475/380, 3991/5183?
Answer: GCF of Numerators as per given numbers 2475/380, 3991/5183 is
GCF of Numerators i.e. for 2475,3991 is 1
LCM of denominators i.e. for 380,5183 is 1969540.
Thus, GCF of Fractions is 1/1969540.Finally, GCF of Fractions for 2475/380, 3991/5183 is 1/1969540.