GCF of 8975/419, 3930/7509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8975/419, 3930/7509 i.e 5/3146271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8975/419, 3930/7509.
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 8975/419,3930/7509?
Given fractions are 8975/419,3930/7509
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 8975/419,3930/7509, numerators are 8975,3930
Denominators are 419,7509
The GCF of 8975,3930 is 5 .
LCM of 419,7509 is 3146271.
The greatest common factor of 8975/419,3930/7509 = [GCF of 8975,3930]/[LCM of 419,7509]= 5/3146271
Therefore, the GCF of 8975/419,3930/7509 is 5/3146271.
To find the highest common factor of 8975,3930, we have to find the factors of both numbers and list the highest common factor.
The factors of 8975 are 1, 5, 25, 359, 1795, 8975
The factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930
The HCF of 8975,3930 is 5.
Lets's calculate GCF of 8975,3930
| 5 | 8975, 3930 |
| 1795, 786 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8975,3930 By Matching Biggest Common Factor Method
Now, list down the factors of 8975
:1,5,25,359,1795,8975
Now, list down the factors of 3930
:1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930
Greatest Common Factor
We found the factors 8975,3930 . The biggest common factor number is the GCF number.
So the greatest common factor 8975,3930 is 5.
Lets's calculate LCM of 419,7509
Given numbers has no common factors except 1. So, there LCM is their product i.e 3146271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3146271
Therefore, the GCF of Fractions 8975/419,3930/7509 is 5/3146271
Least Common Multiple of 419,7509 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 419,7509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,7509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,7509) x common factors =1 x 1 = 1
LCM(419,7509) = ( 419 × 7509 ) / 1
LCM(419,7509) = 3146271 / 1
LCM(419,7509) = 3146271
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FAQs on GCF of Fractions of 8975/419, 3930/7509
1. What is the HCF of 8975,3930?
The HCF of 8975,3930 is 5
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 8975/419, 3930/7509?
Answer: GCF of Numerators as per given numbers 8975/419, 3930/7509 is
GCF of Numerators i.e. for 8975,3930 is 5
LCM of denominators i.e. for 419,7509 is 3146271.
Thus, GCF of Fractions is 5/3146271.Finally, GCF of Fractions for 8975/419, 3930/7509 is 5/3146271.