GCF of 4675/709, 3975/5719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4675/709, 3975/5719 i.e 25/4054771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4675/709, 3975/5719.
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 4675/709,3975/5719?
Given fractions are 4675/709,3975/5719
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 4675/709,3975/5719, numerators are 4675,3975
Denominators are 709,5719
The GCF of 4675,3975 is 25 .
LCM of 709,5719 is 4054771.
The greatest common factor of 4675/709,3975/5719 = [GCF of 4675,3975]/[LCM of 709,5719]= 25/4054771
Therefore, the GCF of 4675/709,3975/5719 is 25/4054771.
To find the highest common factor of 4675,3975, we have to find the factors of both numbers and list the highest common factor.
The factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The HCF of 4675,3975 is 25.
Lets's calculate GCF of 4675,3975
| 5 | 4675, 3975 |
| 5 | 935, 795 |
| 187, 159 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4675,3975 By Matching Biggest Common Factor Method
Now, list down the factors of 4675
:1,5,11,17,25,55,85,187,275,425,935,4675
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 4675,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 4675,3975 is 25.
Lets's calculate LCM of 709,5719
Given numbers has no common factors except 1. So, there LCM is their product i.e 4054771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/4054771
Therefore, the GCF of Fractions 4675/709,3975/5719 is 25/4054771
Least Common Multiple of 709,5719 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 709,5719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,5719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,5719) x common factors =1 x 1 = 1
LCM(709,5719) = ( 709 × 5719 ) / 1
LCM(709,5719) = 4054771 / 1
LCM(709,5719) = 4054771
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FAQs on GCF of Fractions of 4675/709, 3975/5719
1. What is the HCF of 4675,3975?
The HCF of 4675,3975 is 25
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 4675/709, 3975/5719?
Answer: GCF of Numerators as per given numbers 4675/709, 3975/5719 is
GCF of Numerators i.e. for 4675,3975 is 25
LCM of denominators i.e. for 709,5719 is 4054771.
Thus, GCF of Fractions is 25/4054771.Finally, GCF of Fractions for 4675/709, 3975/5719 is 25/4054771.