GCF of 9597/414, 3827/6676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9597/414, 3827/6676 i.e 1/1381932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9597/414, 3827/6676.
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 9597/414,3827/6676?
Given fractions are 9597/414,3827/6676
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 9597/414,3827/6676, numerators are 9597,3827
Denominators are 414,6676
The GCF of 9597,3827 is 1 .
LCM of 414,6676 is 1381932.
The greatest common factor of 9597/414,3827/6676 = [GCF of 9597,3827]/[LCM of 414,6676]= 1/1381932
Therefore, the GCF of 9597/414,3827/6676 is 1/1381932.
To find the highest common factor of 9597,3827, we have to find the factors of both numbers and list the highest common factor.
The factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597
The factors of 3827 are 1, 43, 89, 3827
The HCF of 9597,3827 is 1.
Lets's calculate GCF of 9597,3827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9597,3827 By Matching Biggest Common Factor Method
Now, list down the factors of 9597
:1,3,7,21,457,1371,3199,9597
Now, list down the factors of 3827
:1,43,89,3827
Greatest Common Factor
We found the factors 9597,3827 . The biggest common factor number is the GCF number.
So the greatest common factor 9597,3827 is 1.
Lets's calculate LCM of 414,6676
| 2 | 414, 6676 |
| 207, 3338 |
∴ So the LCM of the given numbers is 2 x 207 x 3338 = 1381932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1381932
Therefore, the GCF of Fractions 9597/414,3827/6676 is 1/1381932
Least Common Multiple of 414,6676 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 414,6676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6676) x common factors =2 x 1 = 2
LCM(414,6676) = ( 414 × 6676 ) / 2
LCM(414,6676) = 2763864 / 2
LCM(414,6676) = 1381932
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FAQs on GCF of Fractions of 9597/414, 3827/6676
1. What is the HCF of 9597,3827?
The HCF of 9597,3827 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 9597/414, 3827/6676?
Answer: GCF of Numerators as per given numbers 9597/414, 3827/6676 is
GCF of Numerators i.e. for 9597,3827 is 1
LCM of denominators i.e. for 414,6676 is 1381932.
Thus, GCF of Fractions is 1/1381932.Finally, GCF of Fractions for 9597/414, 3827/6676 is 1/1381932.