GCF of 4109/956, 7670/4433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4109/956, 7670/4433 i.e 1/4237948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4109/956, 7670/4433.
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 4109/956,7670/4433?
Given fractions are 4109/956,7670/4433
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 4109/956,7670/4433, numerators are 4109,7670
Denominators are 956,4433
The GCF of 4109,7670 is 1 .
LCM of 956,4433 is 4237948.
The greatest common factor of 4109/956,7670/4433 = [GCF of 4109,7670]/[LCM of 956,4433]= 1/4237948
Therefore, the GCF of 4109/956,7670/4433 is 1/4237948.
To find the highest common factor of 4109,7670, we have to find the factors of both numbers and list the highest common factor.
The factors of 4109 are 1, 7, 587, 4109
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 4109,7670 is 1.
Lets's calculate GCF of 4109,7670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4109,7670 By Matching Biggest Common Factor Method
Now, list down the factors of 4109
:1,7,587,4109
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 4109,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 4109,7670 is 1.
Lets's calculate LCM of 956,4433
Given numbers has no common factors except 1. So, there LCM is their product i.e 4237948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4237948
Therefore, the GCF of Fractions 4109/956,7670/4433 is 1/4237948
Least Common Multiple of 956,4433 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 956,4433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,4433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(956,4433) x common factors =1 x 1 = 1
LCM(956,4433) = ( 956 × 4433 ) / 1
LCM(956,4433) = 4237948 / 1
LCM(956,4433) = 4237948
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4109/956, 7670/4433
1. What is the HCF of 4109,7670?
The HCF of 4109,7670 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 4109/956, 7670/4433?
Answer: GCF of Numerators as per given numbers 4109/956, 7670/4433 is
GCF of Numerators i.e. for 4109,7670 is 1
LCM of denominators i.e. for 956,4433 is 4237948.
Thus, GCF of Fractions is 1/4237948.Finally, GCF of Fractions for 4109/956, 7670/4433 is 1/4237948.