GCF of 4211/659, 5578/8104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4211/659, 5578/8104 i.e 1/5340536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4211/659, 5578/8104.
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 4211/659,5578/8104?
Given fractions are 4211/659,5578/8104
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 4211/659,5578/8104, numerators are 4211,5578
Denominators are 659,8104
The GCF of 4211,5578 is 1 .
LCM of 659,8104 is 5340536.
The greatest common factor of 4211/659,5578/8104 = [GCF of 4211,5578]/[LCM of 659,8104]= 1/5340536
Therefore, the GCF of 4211/659,5578/8104 is 1/5340536.
To find the highest common factor of 4211,5578, we have to find the factors of both numbers and list the highest common factor.
The factors of 4211 are 1, 4211
The factors of 5578 are 1, 2, 2789, 5578
The HCF of 4211,5578 is 1.
Lets's calculate GCF of 4211,5578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4211,5578 By Matching Biggest Common Factor Method
Now, list down the factors of 4211
:1,4211
Now, list down the factors of 5578
:1,2,2789,5578
Greatest Common Factor
We found the factors 4211,5578 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,5578 is 1.
Lets's calculate LCM of 659,8104
Given numbers has no common factors except 1. So, there LCM is their product i.e 5340536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5340536
Therefore, the GCF of Fractions 4211/659,5578/8104 is 1/5340536
Least Common Multiple of 659,8104 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 659,8104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,8104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,8104) x common factors =1 x 1 = 1
LCM(659,8104) = ( 659 × 8104 ) / 1
LCM(659,8104) = 5340536 / 1
LCM(659,8104) = 5340536
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4211/659, 5578/8104
1. What is the HCF of 4211,5578?
The HCF of 4211,5578 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 4211/659, 5578/8104?
Answer: GCF of Numerators as per given numbers 4211/659, 5578/8104 is
GCF of Numerators i.e. for 4211,5578 is 1
LCM of denominators i.e. for 659,8104 is 5340536.
Thus, GCF of Fractions is 1/5340536.Finally, GCF of Fractions for 4211/659, 5578/8104 is 1/5340536.