GCF of 3075/899, 3095/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3075/899, 3095/166 i.e 5/149234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3075/899, 3095/166.
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 3075/899,3095/166?
Given fractions are 3075/899,3095/166
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 3075/899,3095/166, numerators are 3075,3095
Denominators are 899,166
The GCF of 3075,3095 is 5 .
LCM of 899,166 is 149234.
The greatest common factor of 3075/899,3095/166 = [GCF of 3075,3095]/[LCM of 899,166]= 5/149234
Therefore, the GCF of 3075/899,3095/166 is 5/149234.
To find the highest common factor of 3075,3095, we have to find the factors of both numbers and list the highest common factor.
The factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075
The factors of 3095 are 1, 5, 619, 3095
The HCF of 3075,3095 is 5.
Lets's calculate GCF of 3075,3095
| 5 | 3075, 3095 |
| 615, 619 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3075,3095 By Matching Biggest Common Factor Method
Now, list down the factors of 3075
:1,3,5,15,25,41,75,123,205,615,1025,3075
Now, list down the factors of 3095
:1,5,619,3095
Greatest Common Factor
We found the factors 3075,3095 . The biggest common factor number is the GCF number.
So the greatest common factor 3075,3095 is 5.
Lets's calculate LCM of 899,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 149234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/149234
Therefore, the GCF of Fractions 3075/899,3095/166 is 5/149234
Least Common Multiple of 899,166 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 899,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,166) x common factors =1 x 1 = 1
LCM(899,166) = ( 899 × 166 ) / 1
LCM(899,166) = 149234 / 1
LCM(899,166) = 149234
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FAQs on GCF of Fractions of 3075/899, 3095/166
1. What is the HCF of 3075,3095?
The HCF of 3075,3095 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 3075/899, 3095/166?
Answer: GCF of Numerators as per given numbers 3075/899, 3095/166 is
GCF of Numerators i.e. for 3075,3095 is 5
LCM of denominators i.e. for 899,166 is 149234.
Thus, GCF of Fractions is 5/149234.Finally, GCF of Fractions for 3075/899, 3095/166 is 5/149234.