GCF of 5126/705, 3975/2107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5126/705, 3975/2107 i.e 1/1485435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5126/705, 3975/2107.
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 5126/705,3975/2107?
Given fractions are 5126/705,3975/2107
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 5126/705,3975/2107, numerators are 5126,3975
Denominators are 705,2107
The GCF of 5126,3975 is 1 .
LCM of 705,2107 is 1485435.
The greatest common factor of 5126/705,3975/2107 = [GCF of 5126,3975]/[LCM of 705,2107]= 1/1485435
Therefore, the GCF of 5126/705,3975/2107 is 1/1485435.
To find the highest common factor of 5126,3975, we have to find the factors of both numbers and list the highest common factor.
The factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The HCF of 5126,3975 is 1.
Lets's calculate GCF of 5126,3975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5126,3975 By Matching Biggest Common Factor Method
Now, list down the factors of 5126
:1,2,11,22,233,466,2563,5126
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors 5126,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 5126,3975 is 1.
Lets's calculate LCM of 705,2107
Given numbers has no common factors except 1. So, there LCM is their product i.e 1485435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1485435
Therefore, the GCF of Fractions 5126/705,3975/2107 is 1/1485435
Least Common Multiple of 705,2107 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 705,2107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,2107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,2107) x common factors =1 x 1 = 1
LCM(705,2107) = ( 705 × 2107 ) / 1
LCM(705,2107) = 1485435 / 1
LCM(705,2107) = 1485435
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FAQs on GCF of Fractions of 5126/705, 3975/2107
1. What is the HCF of 5126,3975?
The HCF of 5126,3975 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 5126/705, 3975/2107?
Answer: GCF of Numerators as per given numbers 5126/705, 3975/2107 is
GCF of Numerators i.e. for 5126,3975 is 1
LCM of denominators i.e. for 705,2107 is 1485435.
Thus, GCF of Fractions is 1/1485435.Finally, GCF of Fractions for 5126/705, 3975/2107 is 1/1485435.