GCF of 4119/685, 1744/8239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4119/685, 1744/8239 i.e 1/5643715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4119/685, 1744/8239.
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 4119/685,1744/8239?
Given fractions are 4119/685,1744/8239
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 4119/685,1744/8239, numerators are 4119,1744
Denominators are 685,8239
The GCF of 4119,1744 is 1 .
LCM of 685,8239 is 5643715.
The greatest common factor of 4119/685,1744/8239 = [GCF of 4119,1744]/[LCM of 685,8239]= 1/5643715
Therefore, the GCF of 4119/685,1744/8239 is 1/5643715.
To find the highest common factor of 4119,1744, we have to find the factors of both numbers and list the highest common factor.
The factors of 4119 are 1, 3, 1373, 4119
The factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744
The HCF of 4119,1744 is 1.
Lets's calculate GCF of 4119,1744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4119,1744 By Matching Biggest Common Factor Method
Now, list down the factors of 4119
:1,3,1373,4119
Now, list down the factors of 1744
:1,2,4,8,16,109,218,436,872,1744
Greatest Common Factor
We found the factors 4119,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 4119,1744 is 1.
Lets's calculate LCM of 685,8239
Given numbers has no common factors except 1. So, there LCM is their product i.e 5643715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5643715
Therefore, the GCF of Fractions 4119/685,1744/8239 is 1/5643715
Least Common Multiple of 685,8239 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 685,8239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,8239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,8239) x common factors =1 x 1 = 1
LCM(685,8239) = ( 685 × 8239 ) / 1
LCM(685,8239) = 5643715 / 1
LCM(685,8239) = 5643715
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FAQs on GCF of Fractions of 4119/685, 1744/8239
1. What is the HCF of 4119,1744?
The HCF of 4119,1744 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 4119/685, 1744/8239?
Answer: GCF of Numerators as per given numbers 4119/685, 1744/8239 is
GCF of Numerators i.e. for 4119,1744 is 1
LCM of denominators i.e. for 685,8239 is 5643715.
Thus, GCF of Fractions is 1/5643715.Finally, GCF of Fractions for 4119/685, 1744/8239 is 1/5643715.