GCF of 4315/965, 4109/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4315/965, 4109/5205 i.e 1/1004565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4315/965, 4109/5205.
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 4315/965,4109/5205?
Given fractions are 4315/965,4109/5205
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 4315/965,4109/5205, numerators are 4315,4109
Denominators are 965,5205
The GCF of 4315,4109 is 1 .
LCM of 965,5205 is 1004565.
The greatest common factor of 4315/965,4109/5205 = [GCF of 4315,4109]/[LCM of 965,5205]= 1/1004565
Therefore, the GCF of 4315/965,4109/5205 is 1/1004565.
To find the highest common factor of 4315,4109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4315 are 1, 5, 863, 4315
The factors of 4109 are 1, 7, 587, 4109
The HCF of 4315,4109 is 1.
Lets's calculate GCF of 4315,4109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4315,4109 By Matching Biggest Common Factor Method
Now, list down the factors of 4315
:1,5,863,4315
Now, list down the factors of 4109
:1,7,587,4109
Greatest Common Factor
We found the factors 4315,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 4315,4109 is 1.
Lets's calculate LCM of 965,5205
| 5 | 965, 5205 |
| 193, 1041 |
∴ So the LCM of the given numbers is 5 x 193 x 1041 = 1004565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1004565
Therefore, the GCF of Fractions 4315/965,4109/5205 is 1/1004565
Least Common Multiple of 965,5205 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 965,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,5205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,5205) x common factors =5 x 1 = 5
LCM(965,5205) = ( 965 × 5205 ) / 5
LCM(965,5205) = 5022825 / 5
LCM(965,5205) = 1004565
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4315/965, 4109/5205
1. What is the HCF of 4315,4109?
The HCF of 4315,4109 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 4315/965, 4109/5205?
Answer: GCF of Numerators as per given numbers 4315/965, 4109/5205 is
GCF of Numerators i.e. for 4315,4109 is 1
LCM of denominators i.e. for 965,5205 is 1004565.
Thus, GCF of Fractions is 1/1004565.Finally, GCF of Fractions for 4315/965, 4109/5205 is 1/1004565.