GCF of 3797/692, 9594/4609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3797/692, 9594/4609 i.e 1/3189428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3797/692, 9594/4609.
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 3797/692,9594/4609?
Given fractions are 3797/692,9594/4609
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 3797/692,9594/4609, numerators are 3797,9594
Denominators are 692,4609
The GCF of 3797,9594 is 1 .
LCM of 692,4609 is 3189428.
The greatest common factor of 3797/692,9594/4609 = [GCF of 3797,9594]/[LCM of 692,4609]= 1/3189428
Therefore, the GCF of 3797/692,9594/4609 is 1/3189428.
To find the highest common factor of 3797,9594, we have to find the factors of both numbers and list the highest common factor.
The factors of 3797 are 1, 3797
The factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
The HCF of 3797,9594 is 1.
Lets's calculate GCF of 3797,9594
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3797,9594 By Matching Biggest Common Factor Method
Now, list down the factors of 3797
:1,3797
Now, list down the factors of 9594
:1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Greatest Common Factor
We found the factors 3797,9594 . The biggest common factor number is the GCF number.
So the greatest common factor 3797,9594 is 1.
Lets's calculate LCM of 692,4609
Given numbers has no common factors except 1. So, there LCM is their product i.e 3189428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3189428
Therefore, the GCF of Fractions 3797/692,9594/4609 is 1/3189428
Least Common Multiple of 692,4609 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 692,4609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,4609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,4609) x common factors =1 x 1 = 1
LCM(692,4609) = ( 692 × 4609 ) / 1
LCM(692,4609) = 3189428 / 1
LCM(692,4609) = 3189428
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3797/692, 9594/4609
1. What is the HCF of 3797,9594?
The HCF of 3797,9594 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 3797/692, 9594/4609?
Answer: GCF of Numerators as per given numbers 3797/692, 9594/4609 is
GCF of Numerators i.e. for 3797,9594 is 1
LCM of denominators i.e. for 692,4609 is 3189428.
Thus, GCF of Fractions is 1/3189428.Finally, GCF of Fractions for 3797/692, 9594/4609 is 1/3189428.