GCF of 4211/407, 1727/9757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4211/407, 1727/9757 i.e 1/361009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4211/407, 1727/9757.
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 4211/407,1727/9757?
Given fractions are 4211/407,1727/9757
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 4211/407,1727/9757, numerators are 4211,1727
Denominators are 407,9757
The GCF of 4211,1727 is 1 .
LCM of 407,9757 is 361009.
The greatest common factor of 4211/407,1727/9757 = [GCF of 4211,1727]/[LCM of 407,9757]= 1/361009
Therefore, the GCF of 4211/407,1727/9757 is 1/361009.
To find the highest common factor of 4211,1727, 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 1727 are 1, 11, 157, 1727
The HCF of 4211,1727 is 1.
Lets's calculate GCF of 4211,1727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4211,1727 By Matching Biggest Common Factor Method
Now, list down the factors of 4211
:1,4211
Now, list down the factors of 1727
:1,11,157,1727
Greatest Common Factor
We found the factors 4211,1727 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,1727 is 1.
Lets's calculate LCM of 407,9757
| 11 | 407, 9757 |
| 37, 887 |
∴ So the LCM of the given numbers is 11 x 37 x 887 = 361009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361009
Therefore, the GCF of Fractions 4211/407,1727/9757 is 1/361009
Least Common Multiple of 407,9757 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 407,9757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,9757) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(407,9757) x common factors =11 x 1 = 11
LCM(407,9757) = ( 407 × 9757 ) / 11
LCM(407,9757) = 3971099 / 11
LCM(407,9757) = 361009
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4211/407, 1727/9757
1. What is the HCF of 4211,1727?
The HCF of 4211,1727 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 4211/407, 1727/9757?
Answer: GCF of Numerators as per given numbers 4211/407, 1727/9757 is
GCF of Numerators i.e. for 4211,1727 is 1
LCM of denominators i.e. for 407,9757 is 361009.
Thus, GCF of Fractions is 1/361009.Finally, GCF of Fractions for 4211/407, 1727/9757 is 1/361009.