GCF of 4208/772, 5845/1469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4208/772, 5845/1469 i.e 1/1134068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4208/772, 5845/1469.
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 4208/772,5845/1469?
Given fractions are 4208/772,5845/1469
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 4208/772,5845/1469, numerators are 4208,5845
Denominators are 772,1469
The GCF of 4208,5845 is 1 .
LCM of 772,1469 is 1134068.
The greatest common factor of 4208/772,5845/1469 = [GCF of 4208,5845]/[LCM of 772,1469]= 1/1134068
Therefore, the GCF of 4208/772,5845/1469 is 1/1134068.
To find the highest common factor of 4208,5845, we have to find the factors of both numbers and list the highest common factor.
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845
The HCF of 4208,5845 is 1.
Lets's calculate GCF of 4208,5845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4208,5845 By Matching Biggest Common Factor Method
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Now, list down the factors of 5845
:1,5,7,35,167,835,1169,5845
Greatest Common Factor
We found the factors 4208,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,5845 is 1.
Lets's calculate LCM of 772,1469
Given numbers has no common factors except 1. So, there LCM is their product i.e 1134068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1134068
Therefore, the GCF of Fractions 4208/772,5845/1469 is 1/1134068
Least Common Multiple of 772,1469 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 772,1469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,1469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,1469) x common factors =1 x 1 = 1
LCM(772,1469) = ( 772 × 1469 ) / 1
LCM(772,1469) = 1134068 / 1
LCM(772,1469) = 1134068
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4208/772, 5845/1469
1. What is the HCF of 4208,5845?
The HCF of 4208,5845 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 4208/772, 5845/1469?
Answer: GCF of Numerators as per given numbers 4208/772, 5845/1469 is
GCF of Numerators i.e. for 4208,5845 is 1
LCM of denominators i.e. for 772,1469 is 1134068.
Thus, GCF of Fractions is 1/1134068.Finally, GCF of Fractions for 4208/772, 5845/1469 is 1/1134068.